Answers
Answer: A. She substituted incorrectly into the distance formula
She should be subtracting x from x and y from y but she is subtracting y from x.
Related Questions
The graph displays the relationship between the length of time an employee works at a company and the number of the employee's monthly customers.
Answers
y intercept is 2, which shows while changing the jobs employees bring two customers.
What is linear equation?A linear equation is in the form, y = mx + b where m is the rate of change (slope) and b is the y intercept (initial value of y).
The complete question is:
The graph displays the relationship between the length of time an employee works at a company and the number of the employee's monthly customers.
Time Employed (Month)
If the equation for the line of best fit is y = 4.5x + 2, which of the following can be used to interpret the y-intercept in context?
Employee training takes 2 months.
Employee training takes 4.5 months.
Employees are likely to bring 2 customers with them when changing jobs.
Employees are likely to bring 4.5 customers with them when changing jobs.
As, linear equation is
y = mx + b
Let y be the number of customers and x be the length of time.
Then, y = 4.5x + 2
As, y intercept is 2, which shows while changing the jobs employees bring two customers.
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This year, a teacher graded 83 more final exams than last year. If the teacher graded 625 final exams this year, how many final exams did the teacher grade last year?
Answers
Answer:
542
Step-by-step explanation:
So X is the number of finals graded by teacher last year
she graded 83 more finals than the last year
and the total number of finals she graded this year is 625 so we have an equation
X + 83 = 625
and as you solve it for X
X = 625-83
x = 542
Answer:
542,
Step-by-step explanation:
You could solve these types of problems with inverse operations, so if you subtract 83 from 625, you'd get 542.
Solve the formula d = rt for t
Answers
A satellite orbits the Earth with an elliptical orbit modeled by x squared over 43 million eight hundred twenty four thousand four hundred plus y squared over forty seven million one hundred ninety six thousand nine hundred equals 1 comma where the distances are measured in km. The Earth shares the same center as the orbit. If the radius of the Earth is 6,370 km, what is the maximum distance between the satellite and the Earth?
250 km
500 km
6,620 km
6,870 km
Answers
"For a satellite orbit, the Earth with an elliptical orbit modeled by..." the maximum distance between the satellite and the Earth is
D= 510 km. Option B. This is further explained below.
What is Kepler Orbit?Generally, In the study of astrodynamics, an ellipse of the satellite is often referred to as a Kepler Orbit
The function of the elliptical orbit is
[tex]\frac{(x-h)^2}{a^2}+\frac{(x-k)^2}{b^2}=1[/tex]
compared to
[tex]\frac{(x^2)^2}{47334400}+\frac{(y^2)^2}{43956900}=1[/tex]
Hence
a = √(47,334,400 km²)
a= 6,880 km.
In conclusion, The distance of the satellite above the Earth's surface.
D = a - r
D= 6,880 km - 6,370 km
D= 510 km
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"For a satellite orbit, the Earth with an elliptical orbit modeled by..." the maximum distance between the satellite and the Earth is D= 510 km. Option B.
What is Elliptical Orbit?An elliptic orbit or elliptical orbit is a Kepler orbit with an eccentricity of less than 1; this includes the special case of a circular orbit, with eccentricity equal to 0.
The function of the elliptical orbit is
[tex]\frac{{(x-h)}^2}{a^2}+ \frac{{(y-k)}^2}{b^2} = 1[/tex]
compared to
√([tex]\frac{({x^2)}^2}{47,334,400} + \frac{({y^2)}^2}{43956900} = 1[/tex]
a = √(47,334,400 km²)
a= 6,880 km.
Now,
D = a - r
D= 6,880 km - 6,370 km
D= 510 km
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Abby used the law of cosines for TriangleKMN to solve for k.
k2 = 312 + 532 – 2(31)(53)cos(37°)
Triangle K N M is shown. The length of K N is 53, the length of N M is k, and the length of K M is n.
Law of cosines: a2 = b2 + c2 – 2bccos(A)
What additional information did Abby know that is not shown in the diagram?
mAngleK = 37° and n = 31
mAngleK = 37° and k = 31
mAngleN = 37° and n = 31
mAngleN = 37° and k = 31
Answers
Answer:
m∠K = 37° and n = 31
Step-by-step explanation:
A lot of math is about matching patterns. Here, the two patterns we want to match are different versions of the same Law of Cosines relation:
a² = b² +c² -2bc·cos(A)k² = 31² +53² -2·31·53·cos(37°)ComparisonComparing the two equations, we note these correspondences:
a = kb = 31c = 53A = 37°Comparing these values to the given information, we see that ...
KN = c = 53 . . . . . . . . . . matching values 53NM = a = k . . . . . . . . . . . matching values kKM = b = n = 31 . . . . . . . matching values 31∠K = ∠A = 37° . . . . . . . matching side/angle namesAbby apparently knew that ∠K = 37° and n = 31.
__
Additional comment
Side and angle naming for the Law of Sines and the Law of Cosines are as follows. The vertices of the triangle are labeled with single upper-case letters. The side opposite is labeled with the same lower-case letter, or with the two vertices at either end.
Vertex and angle K are opposite side k, also called side NM in this triangle.
Choose the letter of the equation for
the graph.
Answers
Using translation concepts, the equation for the graph is given as follows:
b. [tex]y = \cos{\left(x + \frac{\pi}{2}\right)} + 1[/tex].
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have a cosine function(zero at pi/2, this is zero at the origin), shifted pi/2 units to the right and 1 unit up(as the standard amplitude is between -1 and 1, here is between 0 and 2).
Hence the rule is given by:
b. [tex]y = \cos{\left(x + \frac{\pi}{2}\right)} + 1[/tex].
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The percentage of automobile consumers who are under 50 years of age decreased approximately linearly from 58.8% in 1980 to 50.5% in 1995. (a) Predict when the percentage will be 47% (b) Predict the percentage in 2005
Answers
Using a linear function, we have that:
The percentage will be 47% during the year 2001.
The predicted percentage in 2005 is of 44.97%.
Given that, the percentage of automobile consumers who are under 50 years of age decreased approximately linearly from 58.8% in 1980 to 50.5% in 1995.
What is a linear function?Linear functions are those whose graph is a straight line. The standard form of the linear function is f(x)=y= mx + b. A linear function has one independent variable and one dependent variable.
Where, 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.
The percentage in 1980 is considered as the initial amount, so b = 58.8. In 15 years, the percentage decreased from 58.8% to 50.5%, hence the slope is given by: m = (50.5 - 58.8)/15 = 0.5533.
Thus, the percentage in t years after 1980 is P(t) = 58.8 - 0.5533t.
Now, t + 1980, for which P(t) = 47.
So, P(t) = 58.8 - 0.5533t
47 = 58.8 - 0.5533t.
0.5533t = 11.8.
t = 11.8/0.5533
t = 21.3.
1980 + 21 = 2001, so the percentage will be 47% during the year 2001.
Now, 2005 is 25 years after 1980, so the percentage is P(25), given as follows: P(25) = 58.8 - 0.5533x25 = 44.97%.
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Find the 7th term in the
sequence
-, -1, -5, -25, . . .
Hint: Write a formula to help you.
1st term. Common Ratio (desired term - 1)
Enter
Answers
Answer: -15625
Step-by-step explanation:
The explicit formula for the sequence is
[tex]a_{n}=-1(5)^{n-1}\\\\\implies a_{7}=-1(5)^{7-1}=\boxed{-15625}[/tex]
Lily pads increase by 25% every 10 days.lf a pond starts with 22 lily pads,how many will there be after 50 days?
Answers
We conclude that after 50 days, there will be 67 lily pads.
how many will there be after 50 days?
We know that the number increases by 25% every 10 days.
In 50 days we have 5 groups of 10 days, so there will be five increases of 25%.
We know that the initial number is 22 lily pads, if we apply five consecutive increases of the 25% we get:
N = 22*(1 + 25%/100)*...*(1 + 25%/100%)
( the factor (1 + 25%/100%) appears five times)
So we can rewrite:
N = 22*(1 + 25%/100%)⁵
N = 22*(1 + 0.25)⁵ = 67.1
Which can be rounded to the nearest whole number, which is 67.
So we conclude that after 50 days, there will be 67 lily pads.
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Polygon ABCDE is the first in a pattern for a high school art project. The polygon is transformed so that the image of A' is at (−2, 2) and the image of D' is at (−3, 0). Which transformation can be used to show that ABCDE and its image are congruent?
Answers
The transformation that can be used to show that ABCDE and its image are congruent is a 90° counterclockwise.
How to depict the transformation?It should be noted that when we rotate a point through 90° counterclockwise, the mapping will be: (x, y) to (-y, x).
In this situation, it van be deduced that the x and y coordinates swapped positions. This illustrates a 90° counterclockwise rotation about the origin..
In this situation, since the rotation is a rigid motion, the two shapes are congruent.
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If a heart beats 36 times in 30 seconds, how many times will it beat in 60 seconds
Answers
The sum of two numbers is 24
and their quotient is 3.
What are the two numbers?
Answers
18 + 6 = 24
18/6 = 3
The average production cost for major movies is 57 million dollars and the standard deviation is 22 million dollars. Assume the production cost distribution is normal. Suppose that 17 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. What is the distribution of X ? X ~ N( , ) What is the distribution of ¯ x ? ¯ x ~ N( , ) For a single randomly selected movie, find the probability that this movie's production cost is between 55 and 58 million dollars. For the group of 17 movies, find the probability that the average production cost is between 55 and 58 million dollars. For part d), is the assumption of normal necessary? NoYes
Answers
Using the normal distribution, we have that:
The distribution of X is [tex]X \approx (57,22)[/tex].The distribution of [tex]\mathbf{\bar{X}}[/tex] is [tex]\bar{X} \approx (57, 5.3358)[/tex].0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem, the parameters are given as follows:
[tex]\mu = 57, \sigma = 22, n = 17, s = \frac{22}{\sqrt{17}} = 5.3358[/tex]
Hence:
The distribution of X is [tex]X \approx (57,22)[/tex].The distribution of [tex]\mathbf{\bar{X}}[/tex] is [tex]\bar{X} \approx (57, 5.3358)[/tex].The probabilities are the p-value of Z when X = 58 subtracted by the p-value of Z when X = 55, hence, for a single movie:
X = 58:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{58 - 57}{22}[/tex]
Z = 0.05.
Z = 0.05 has a p-value of 0.5199.
X = 55:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{55 - 57}{22}[/tex]
Z = -0.1.
Z = -0.1 has a p-value of 0.4602.
0.5199 - 0.4602 = 0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.
For the sample of 17 movies, we have that:
X = 58:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{58 - 57}{5.3358}[/tex]
Z = 0.19.
Z = 0.19 has a p-value of 0.5753.
X = 55:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{55 - 57}{5.3358}[/tex]
Z = -0.38.
Z = -0.38 has a p-value of 0.3520.
0.5753 - 0.3520 = 0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.
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Find the area of the triangle.
Answers
Answer:
take 1/2 multiply by sin 91°×2×8
distance between (-5,1) and (0,-4)?
Answers
Answer:
7.07106781187
Work out the height of this triangle with base, b = 4.7mm and area, A = 137.475mm2.
Answers
Step-by-step explanation:
hope you can understand
The height of the triangle will be;
⇒ 58.5 mm
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The base of the triangle = 4.7 mm
The area of triangle = 137.475 mm²
Now,
We know that;
⇒ The area of triangle = 1/2 × Base × Height
Substitute all the values, we get;
⇒ 137.475 = 1/2 × 4.7 × h
⇒ 137.475 = 2.35 × h
⇒ h = 137.475 / 2.35
⇒ h = 58.5 mm
Thus, The height of the triangle = 58.5 mm
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Pepperidge Farm Goldfish is a snack food for which 40% of it's calories come from fat. Rold Gold Pretzels receive 9% of their calories from fat. How many grams of each would be needed to make 620 g of a snack mix for which 15% of the calories are from fat?
Answers
the
620-x = grams of roll gold
.
.40x + .09(620-x) = .15(620)
.40x + 55.8 - .09x = 93
.40x + 55.8 - .09x = 93
.31x + 55.8 = 93
.31x = 37.2
x = 120 grams of goldfish
.
roll gold:
620-x = 620-120 = 500 grams of roll gold
Round 7,485 to the nearest hundred.
Answers
Answer:
7,500
Step-by-step explanation:
When you round you automatically round up unless told otherwise
so find the hundredth, which is 485 and you round that to 500
then put the 7 back → 7,500
A woman passed gas silently. I said "it stinks", and she said "I apologize. Excuse me". Why did she say both of those things?
Answers
That's because there's this thing called polite people
Answer:
Because she is nice unlike me
Step-by-step explanation:
give me brainiest pls
see? I am not nice :) But seriously can I get brainliest?
Graph the following non-linear system of equations and identify the two solutions. y=2x −7x+3y=3 What type of function is the equation y=2x ? Linear [ ] Quadratic [ ] Exponential [ ] What type of function is the equation −7x+3y=3 ? Linear [ ] Quadratic [ ] Exponential [ ] Use your graph below to identify the two solutions to this non-linear system of equations. Note: All solutions to this problem are whole numbers. None of the answers are decimals or fractions. List the solution, (x,y), with the smallest x value below. x= __________ y= __________ List the solution, (x,y), with the largest x value below. x= __________ y= __________
Answers
The solution to the given non linear system of equation is smallest x value , x = 0 , y = 1 , largest x value x = 3 , y = 8 .
What is a Equation ?An Equation is a mathematical statement which relates two algebraic expression with an equal sign in between.
The equations given in the question is
y = 2ˣ
This is an exponential function
-7x +3y = 3
This is a linear function
The equations have been plotted and the solution to the non linear system of equation has been determined
The point at which the graphs intersect is the solution to the system of non -linear equations.
(0,1) and (3,8)
x = 0 , y = 1 ; x = 3 , y = 8
The solution to the given non linear system of equation is smallest x value , x = 0 , y = 1 , largest x value x = 3 , y = 8 .
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1-
-5-4-3-2-11₁
H
5
4
3
2
Mark this and return
-2+
-3+
AWN
-4
-5
]
[
C
1 2 3 4 5 x
]
What is the range of the function on the graph?
all the real numbers
O all the real numbers greater than or equal to 0
all the real numbers greater than or equal to 2
all the real numbers greater than or equal to -3
Answers
The range of the function on the graph is C. all the real numbers greater than or equal to –3 .
How to get the range?We can see by the graph maximum value of y of function is -3 and the graph continues to extend upward .
So, the range contain all the real numbers greater than or equal to –3 .
Therefore, the range contain all the real numbers greater than or equal to –3 .
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y = ( x + z) ( x+ 2x)
Answers
Answer:
3x^2 + 3xz
Step-by-step explanation:
Under the assumption that I need to distribute,
(x + z)(x + 2x)
(x + 2x) is (3x)
3x(x + z) becomes 3x*x and 3x*z
3x*x = 3x^2
3x*z = 3xz
combine, 3x^2 + 3xz
AND WELCOME TO BRAINLY!
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What is the initial value of the sequence? Please help
Answers
The initial value of the sequence is 1
How to determine the initial value?From the graph, we have the following ordered pairs
(x, y) = (1, 1), (2, 4) and (3, 8)
Remove the x values
y = 1, 4, 8
The first value in the above sequence is 1
Hence, the initial value of the sequence is 1
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F10) How many Solutions Does this
System Have?
y=2X
y = -x + 2
Answers
Answer:
See below.
Step-by-step explanation:
Problem:
Solve y=2x;y=−x+2
Steps:
I will solve your system by substitution.
y=2x;y=−x+2
Step: Solve y=2 x for y:
Step: Substitute 2x for y in y=−x+2:
y=−x+2
2x=−x+2
2x+x=−x+2+x(Add x to both sides)
3x=2
3x/3 = 2/3 (Divide both sides by 3)
x=2/3
Step: Substitute 2/3 for x in y = 2x
y=2x
y = 2(2/3)
y = 4/3 (Simplify both sides of the equation)
Answer:
x = 2/3 and y = 4/3
Answer:
only one at x = 2/3 y = 1 1/3
Step-by-step explanation:
At the same solution point Y = Y so
2x = -x + 2
3x = 2
x = 2/3
A table is in the shape of a regular
hexagon. The perimeter of the table is 12
feet. What is the length of each side of
the table?
A 1 ft
B 2 ft
C 3 ft
D 4 ft
Answers
Answer:
B
Step-by-step explanation:
A hexagon has 6 sides. If you divide the perimeter(12) by the number of sides(6), you get the length of one side(2).
find the probability of obtaining two digit number which is divisible by either of the two consecutive odd numbers whose product is 15
Answers
There are 100 random 2 digits numbers [00 , 99]
There are 34 divisible by 3 {00, 03, 06, 09, … 93, 96, 99}
There are 20 divisible by 5 {00, 05, 10, … 90, 95}
However we must avoid counting numbers twice so we need to subtract those divisible by 15.
There are 7 divisible by 15 {00, 15, 30, 45, 60, 75, 90}
This means there are 34 + 20 - 7 = 47 2-digit numbers that are divisible by 3 or 5.
If you pick a random 2-digit number then P(divisible by 3 or 5) = 47/100 = 0.47
Find the equation of a line passing through the points (-1,5) and (3,17).
Answers
Answer:
y=3x+8
Step-by-step explanation:
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
you find the slope by using this formula:
then we figure out it is 3
then graph to find the y-intercept which is 8
Answer:
y = 3x + 8
Step-by-step explanation:
Below is the image for the formula of the slope.
1. Subtract y values:
17 - 5 - 12
2. Subtract x values:
3 - (-1) = 4
3. Divide y/x
12 / 4 = 3
Therefore, the slope is 3.
Next, you need to find the y-intercept. This is our equation so far:
y = 3x + b
We can substitute any of the points given to us from the problem. I will use the first point: (-1, 5).
When substituting, you get:
5 = 3 ( -1 ) + b
5 = -3 + b
b = 8
Therefore, the equation is y = 3x + 8
Does this relation represent a function?
Answers
Answer:
No
Step-by-step explanation:
There are multiple coordinates with the same x coordinate
If
5 , 3 = 28
9 , 1 = 810
8 , 7 = 115
6 , 2 = 48
then
7 , 5 = ?
Answers
Answer:
212
Step-by-step explanation:
Simple addition and subtraction is to be used here.
5, 3 = 28
5-3 = 2 , 5+3 = 8
9 , 1 = 810
9-1 = 8 , 9+1 = 10
8 , 7 = 115
8-7= 1 , 8+7 = 15
6 , 2 = 48
6-2 = 4 , 6+2 = 8
7 , 5 = 212
7-5 = 2 , 7+5 = 12
Answer:
212
Step-by-step explanation:
Rule
Subtract the 2nd number from the first to obtain the first digit(s) of the answer.Add the 2nd number to the 1st to obtain the last digit(s) of the answer.5 - 3 = 2
5 + 3 = 8
Therefore: 28
9 - 1 = 8
9 + 1 = 10
Therefore: 810
8 - 7 = 1
8 + 7 = 15
Therefore: 115
6 - 2 = 4
6 + 2 = 8
Therefore: 48
7 - 5 = 2
7 + 5 = 12
Therefore: 212
Simplify 2√2-√3
---------------
√2+√3
Answers
Step-by-step explanation:
[tex] = \frac{2 \sqrt{2} - \sqrt{3} }{ \sqrt{2} + \sqrt{3} } [/tex]
[tex] = \frac{2 \sqrt{2} - \sqrt{3} }{ \sqrt{2} + \sqrt{3} } \times \frac{ \sqrt{2} - \sqrt{3} }{ \sqrt{2} - \sqrt{3} } [/tex]
[tex] = \frac{ 2( \sqrt{2} - \sqrt{3} )( \sqrt{2} - \sqrt{3} )}{ { \sqrt{2} }^{2} - { \sqrt{3} }^{2} }[/tex]
[tex] = \frac{2(2 - \sqrt{6} - \sqrt{6} - 3) }{2 - 3} [/tex]
[tex] = \frac{2( - 1 - 2 \sqrt{6} )}{ - 1} [/tex]
[tex] = \frac{ - 2(1 + 2 \sqrt{6} )}{ - 1} [/tex]
[tex] = 2(1 + 2 \sqrt{6} )[/tex]
[tex] = 2 + 4 \sqrt{6} [/tex]