olivia is walking to raise money for the childrens hospital. people can choose to sponser her at two diffrent levels. the first plan pays 10 dollars up front and 50 cents per mile. the second plan pays 4 dollars then 2 dollars per mile. for how many miles will the two plans donate the same amount?
Using linear functions, it is found that the two plans will donate the same amount for 4 miles.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, the functions for the amount donated with n miles are given by:
f1(n) = 10 + 0.5n.f2(n) = 4 + 2n.They will donate the same amount for n miles as such:
f1(n) = f2(n).
10 + 0.5n = 4 + 2n.
1.5n = 6
n = 6/1.5
n = 4.
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Q
Match the definition on the left to its corresponding geometric figure on the right
A zero-dimensional object that defines a specific location on a plane
A one-dimensional figure, which extends without end in two
directions
A finite section of a line between any two points that lie on the line
A half-line that begins at one point and goes on forever in one
R
direction
A two-dimensional surface that continues infinitely
Point: is a zero-dimensional object that defines a specific location on a plane. Also, it's represented by using a small dot.
What is a geometric figure?A geometric figure can be defined as the forms of different dimensional objects that are formed through a combination of lines, planes or points.
In Geometry, the following terminologies and definitions are used to describe a geometric figure:
Point: is a zero-dimensional object that defines a specific location on a plane. Also, it's represented by using a small dot. ⇒Image 4.Line: is a one-dimensional figure which extends without end in two (2) directions. ⇒Image 5.Line segment: is a finite section of a line that exist between any two (2) points that lie on the line. ⇒Image 1.Ray: is a half-line that starts at one (1) point and goes on infinitely (forever) in one (1) direction. ⇒Image 3.Plane: is a two-dimensional surface that continues infinitely (forever). ⇒Image 2.Read more on lines here: https://brainly.com/question/1655368
High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam. Students who score in the top 14 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly recognized?
Using the normal distribution, it is found that a student has to score 1.08 standard deviations above the mean to be publicly recognized.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex]standard deviation [tex]\sigma[/tex]z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The top 14% of the scores are given by scores above the 86th percentile, which corresponds to Z = 1.08, hence, a student has to score 1.08 standard deviations above the mean to be publicly recognized.
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Car A travels at a rate of 45 miles per hour.
Car B travels at a rate of 80 miles in 2
hours. Find the unit rate of each car. Which
car is traveling faster?
Unit rate in this case denotes to distance traveled in miles per hour.Indirectly it denotes to speed
#Car A
Speed=45mph#Car B
Speed=Distance/Time=80/2=40mphAs we can observe
car A is traveling faster
Which statement correctly maps AB to A′B′
x,y)↦(x+7,y−8)(x,y)↦(x+7,y−8)
(x,y)↦(x+8,y−7)(x,y)↦(x+8,y−7)
(x,y)↦(x−8,y+7)(x,y)↦(x−8,y+7)
(x,y)↦(x−7,y+8)
Answer:x+8, y-7
Step-by-step explanation:
The length of a rectangle is 4FT less than three times the width, and the area of the rectangle is 55FT. Find the dimensions of the rectangle.
Answer:
The required dimensions of rectangle are 11 feet and 5 feet.Step-by-step explanation:
Given, The length of a rectangle is 4 ft less than three times the width, and the area of the rectangle is 55 ft².
Let's assume width of rectangle be x feet and length be 3x - 4 feet. Using the formula of Area of rectangle we'll find the value of length and width.
[tex] \\ \dashrightarrow{ \red{ \underline{ \underline {\sf\: \:Area _{(rectangle)} = Length \times width}}}} \\ \\ [/tex]
Substituting the required values:
[tex]\dashrightarrow\: \: (3x - 4)(x) = 55 \\ [/tex]
[tex]\dashrightarrow\: \: 3x^2 - 4x = 55 \\ [/tex]
[tex]\dashrightarrow\: \: 3x^2 - 4x - 55 = 0 \\ [/tex]
[tex]\dashrightarrow\: \: 3x^2 + 11x - 15x - 55 = 0 \\ [/tex]
[tex]\dashrightarrow\: \: x(3x+11) -5(3x+11) = 0 \\ [/tex]
[tex]\dashrightarrow\: \: (x-5)(3x+11) = 0 \\ [/tex]
[tex] { \red{ \dashrightarrow\: \: { \underline{ \underline{ {x = 5 \: or \: \dfrac{-11}{3}}}}}}} \\ \\ [/tex]
Hence,
Length of rectangle = 3x - 4 = 3(5) -4 = 11 feet Breadth of rectangle= x = 5 feet[tex]\therefore[/tex] The required dimensions of rectangle are 11 feet and 5 feet.
Solve.
-14 - (-12)
A. -26
B. -2
C. 2
D. 26
Answer:
-2
Step-by-step explanation:
Apply the rule for this:
a - (- b) = a + b
Thus, we have:
-14 - (-12) = -14 + 12
Add the number:
Since there are more negative than positive the final solution is negative
Hence, now 14 - 12 = 2
Now bring the negative down:
-2
Therefore, the answer is -2
Kavinsky
When there are two minuses beside each other
⇒ we can equate them as a '+'
so:
-14 - (-12) = -14 + 12 = -2 or Choice (B)
Hope that helps!
order to estimate the average time spent on the computer terminals per student at a university, data were collected for a sample of 81 business students over a one week period. Assume the population standard deviation is 1.8 hours. With a 0.95 probability, the margin of error is approximately a. 0.20 b. 0.39 c. 1.96 d. 1.64
Using the z-distribution, as we have the standard deviation for the population, the margin of error is given by:
b. 0.39.
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the sample.The margin of error is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
As for the other parameters, we have that [tex]\sigma = 1.8, n = 81[/tex].
Hence, the margin of error is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.96\frac{1.8}{\sqrt{81}}[/tex]
[tex]M = 0.39[/tex]
Hence option b is correct.
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Hallar M=64(n+2)=141(5)
Ayuda en este ejercicio porfa :,(
Answer:
n≈9
n=9.015625
Step-by-step explanation:
64(n+2)=141(5)
Break up the parenthesis.
64n+128=705
Subtract 128 from both sides.
64n=577
Divide 64 from both sides.
577/64
Then you get your answer.
n≈9
What is the radius of the circle?
Answer:
13cm
Step-by-step explanation:
In this case you have to use the Pythagorean theorem.
cy = 24/2
cy=12 cm ( a perpendicular drawn to a chord from the center bisects the chord..
ac=5 cm (given)
now,
ay^2= 25cm + 144 cm
ay^2 = 169 cm
√169 = 13 cm
Answer:
13 cm
Step-by-step explanation:
Since AC is perpendicular to XY , and XA and AY are both radii of the same circle, you can say that AC is a perpendicular bisector.
From there, we can say that XC is 1/2 of 24 cm, or 12 cm.
We can then form triangle ACX use the Pythagorean theorem to find the length of AX.
The square root of 12^2 + 5^2 is 13.
Therefore, the radius of the circle is 13 cm
What are the vertices of A'B'C if ABC is dilated by a scale factor of 1/6?
The coordinates of the vertices A'B'C when ABC is dilated by a scale factor of 1/6 are 1/6(x,y)
How to determine the vertices?The rule of transformation is given as:
Dilation by a scale factor of 1/6
Mathematically, this is represented as:
(x,y) => 1/6(x,y)
This means that the coordinates of the vertices ABC are multiplied by 1/6 to get the coordinates of the vertices A'B'C
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Easy math 2 pictures
Answer:
See below
Step-by-step explanation:
x = hours
Payless charges = 50 + 60x
Squad charges = 80 + 50x when are they equal ?
50 + 60x = 80 + 50x
x = 3 hours
Surface area = 2 * ( 10 *5 + 5*3 + 3*10) = 190 ft^2
A,B,C,D are points on the circumference of a circle centre o
ed is a tangent to the circle
angle odb = 25
work out angle bad
The points A,B,C,D make up the circumference of the circle
The measure of angle BAD is 65 degrees
How to determine the measure of angle BAD?The measure of angle ODB is given as:
ODB = 25 degrees
Considering the triangle BOD, we have:
ODB + BOD + DBO = 180
Where:
ODB = DBO = 25
So, we have:
25 + BOD + 25 = 180
Solve for BOD
BOD = 130 degrees
The angle at an arc is twice the angle at the circumference.
So, we have:
BOD = 2 * BAD
Substitute 130 for BOD
130 = 2 * BAD
Divide both sides by 2
65 = BAD
Hence, the measure of angle BAD is 65 degrees
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Please help for brainliest :(
Given the figure below, find the values of x and z.
Answer:
Below in bold.
Step-by-step explanation:
z = 87 degrees ( vertical angles)
9x - 87 = 180 - z ( adjacent angles are supplementary)
9x - 87 = 180 - 87
9x = 180
x = 20 degrees.
a spinner has 8 congruent sectors: 6 yellow and 2 green. the radius of the spinner is 5cm. what is the area of the yellow sector.
Area of the yellow sector is 58.91 cm2
The spinner has a circular shape and would be solved as a circle.
Area of a circle = pi r^2
= 3.142 * 5^2
= 78.55 cm2
The circle is divided into 8
78.55 / 8 = 9.8188
Area of 6 parts = 6 * 9.8188
= 58.9128 cm2
Cameron buys a pack of pencils and a pencil sharpener for $15. The pencil sharpener costs twice as much as the pack of pencils. How much does the pack of pencils cost?
A. $2
B. $10
C. $5
D. $30
Answer:
D. $30
Step-by-step explanation:
All you have to do is multiply 15 by 2 and you'll get 30.
A multiple-choice test has five possible answers for each question. If a student guesses at the answer, what is the probability that he or she selects the correct answer for one particular question?
Answer:
20% chance of getting the right answer
Step-by-step explanation:
he has a 1/5 chance, translated into 20 percent
⭐ Question
I have 30 red marbles, 28 blue marbles, 13 green marbles, and 6 magenta marbles.
What is the probability I pull 3 blue marbles? Write as a fraction, no need to simplify.
Answer:
im thinking that is 3/74 because i count them
Step-by-step explanation:
3/74 rhe answer but 3/77 are wrong he just thinking
Answer:
3 over 77, 3/77
Step-by-step explanation:
You add up all of the marbles. (including the blue ones)
30+28+13+6 = 77.
So. You have a 3/77 chance of pulling a blue marble.
Find the range of the following sets of numbers 100,90,20,40,0,76
Answer:
100
Step-by-step explanation:
Range = highest - lowest (R = H - L)
In order, the set is 0, 20, 40, 76, 90, 100
100-0 = 100
Answer:
100
Step-by-step explanation:
Range = Highest value -lowest value
100-0=100
Find the quotient: 5/8 divided by 3.
Answer:
5/24
Step-by-step explanation:
Instead of dividing 5/8 by 3/1, you could multiply by the reciprocal to get the same answer.
5/8 · 1/3
Hope that helps!
a cart is pushed 40 meters against 45 newtons of friction = how much work done
Answer:
-1.8 kJ
Step-by-step explanation:
Given
Displacement = 40 metersForce against = 45 NSolving
W = F x SW = - 45 x 40W = -1800 J = -1.8 kJAnswer:
2250 J
Step-by-step explanation:
Work done is given by the formula :
work done = force × distance
Substituting values given gives us:
Work done = 45 × 40
Work done = 2250 J
100 points! Please help find the direction!
The direction will be resultant
A=11iB=20i+9√3jNow
R=√A²+B²+2ABcos60R=√(11i)²+(20i+9√3j)²+2(11i)(20+9√3j)(1/2)R=√1155.5R≈33.98°Choose all statements that are true.
A 15% of 15 is 1.
B 5% of 50 is 10.
C 10% of 100 is 10.
D 2% of 100 is 5.
E 3% of 200 is 6.
Answer:
C, D, E
Step-by-step explanation:
15 * .15 = 2.25
50 * .05= 2.5
100 * .10= 10
100 * .05= 5
200 * .03= 6
Define a rational number and show that no rational number x belongs to Q satisfies x² = 2
Answer:
A rational number is a number that can be expressed as a fraction of two integers.
if x²=2 then x=√2, but √2 is an irrational number (not rational), so there is no rational number x that satisfies x² = 2.
Step-by-step explanation:
Help help help help math
Answer:
Step-by-step explanation:
2x+y
=2(2)+1
=4+1
=5
Answer:
5
Step-by-step explanation:
Sub x=2, y = 1
2(x) + y = 5
2(2) + 1 = 5
Help picture below problem 23 will give brainlest
Answer:
It will take them 5 hours to make 180 cupcakes
Step-by-step explanation:
17 + 19 = 36 x 5 = 180
Answer:
5 hours
Step-by-step explanation:
so since it al together you add 17+19 which equals 36. after that you divide 180 by 36 which equals 5. to recheck this I multipled 17 by 5 and 19 by 5. equaling 85 plus 95 equals 180 meaning it is 5
x^2+y^2=y is written in polar form as r = ?
r = 3sinA is written in rectangular form as x^2+y^2= ?
[tex]x^2+y^2=r^2~\hfill x=rcos(\theta )~\hfill y=rsin(\theta ) \\\\[-0.35em] ~\dotfill\\\\ r=3sin(A)\implies \stackrel{\textit{multiplying both sides by "r"}}{r^2~~ = ~~3~rsin(A)}\implies x^2+y^2=3y[/tex]
r = 3sinA is written in rectangular form as[tex]x^2+y^2 = 3y.[/tex]
What is De Moivre's theorem for exponentiation of complex numbers?Any complex number z = a + ib can be written in polar form as:
[tex]z = r(\cos(\theta) + i\sin(\theta))[/tex]
Complex numbers are those numbers that contain the imaginary and the real part.
Raising this to nth power (n being an integer), we get:
[tex]z ^n = r^n (\cos(n\theta) + i\sin(n\theta))[/tex]
We need to find r = 3sinA is written in rectangular form as[tex]x^2+y^2[/tex].
We know that
x = r cosA
y = r sin A
We have been given ;
r = 3sinA
Multiply by r on both sides;
[tex]r^2 = 3r sin A\\\\r^2 = 3 y[/tex]
therefore,
[tex]x^2+y^2 = 3y[/tex]
Hence, r = 3sinA is written in rectangular form as [tex]x^2+y^2 = 3y[/tex].
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Which circle will have the largest radius?
O OAC = 16 cm
OOD.r=20 cm
OOC.r= 21 cm
O OB. C = 18 cm
Answer:
c-21cm
Step-by-step explanation:
21 is the biggest one(unless the options are the diameters..it wouldstill be option c though)
A city has 15 stations, including 6 hip hop stations. What is the possibility that a randomly chosen radio station in the city was a hip-hop station? Write your answer as a fraction or whole number.
Answer:
I'm pretty sure the answer is 6½
FIND THE VALUE OF X FOR BRAINLIEST!!! :D
Answer:
x = 41
Step-by-step explanation:
x = 180 - 97 - 42
x = 41
Sum of the triangle = 180
I hope my answer helps you.
Answer:
x° = 41°
Step-by-step explanation:
x° = (180-42- 97)° = 41°
Hope this helps