Answer:
un year
Step-by-step explanation:
Harley rides her bicycle the same distance every day for 4 days. The total distance she rides is 814 miles. How many miles does she ride each day?
Answer:
203.5
Step-by-step explanation:
just divide 814 by 4
Answer:
203.5 miles per day
Step-by-step explanation:
divide 814 by 4= 203.5
Complete the point-slope equation of the line through (-5,7)(−5,7)left parenthesis, minus, 5, comma, 7, right parenthesis and (-4,0)(−4,0)left parenthesis, minus, 4, comma, 0, right parenthesis.
Use exact numbers.
The point-slope equation of this line is y - 7 = -7(x + 5).
What is the point-slope form?Mathematically, the point-slope form of a line is given by this equation:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the points.Next, we would determine the slope of this line by using this formula:
Slope, m = Δy/Δx
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Substituting the given parameters into the formula, we have;
Slope, m = (0 - 7)/(-4 + 5)
Slope, m = -7/1
Slope, m = -7
At point (-5, 7), the point-slope equation of the line is given by:
y - y₁ = m(x - x₁)
y - 7 = -7(x - (-5))
y - 7 = -7(x + 5)
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Complete Question:
Complete the point-slope equation of the line through (-5, 7) and (-4, 0). Use exact numbers.
Solve this system of linear equations. Separate
the x- and y-values with a comma.
8x + 8y = -56
4x + 10y = -46
The value of x is -4 and the value of y is -3.
What is linear equations?
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.
The linear equation's graph is a straight line.
The given system of linear equations is,
8x + 8y = -56 ...(1)
4x + 10y = -46 ...(2)
Divide equation (1) by 2, we get
4x + 4y = -28 ...(3)
Multiply equation (3) by -1
-4x - 4y = 28 ...(4)
Adding equations (2) and (4),
4x + 10y = -46
+ -4x - 4y = 28
____________________
6y = -18
y = -3
Substitute y = -3 in equation (1) and simplify, we get
x = -4.
Therefore, the value of x is -4 and the value of y is -3.
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Ms. Wilson invested $30,000 in two accounts, one yielding 8% interest and the
other yielding 9%. If she received a total of $2,590 in interest at the end of the
year, how much did she invest in each account?
The amount invested at 8% was $
The amount invested at 9% was $
Answer:
The amount invested at 8% was $11,000
The amount invested at 9% was $19,000
Step-by-step explanation:
Let the variable x represent the amount in $ invested at 8% and let y be the amount in $ invested at 9%
Total amount invested:
x + y = 30000 [1]
8% = 8/100 = 0.08
9% = 9/100 = 0.09
Interest at 8% on $x = 0.08x
Interest at 9% on $x = 0.09x
Total Interest :
0.08x + 0.09y = 2590 [2]
Using equations [1] and [2] we can solve for x and y
We have
x + y = 30000 [1]
0.08x + 0.09y = 2590 [2]
Multiply equation 1 by 0.08 to get
0.08x + 0.08y = 0.08(30,000)
0.08x + 0.08y = 2,400 [3]
Subtract [3] from [2] :
0.08x + 0.09y = 2590
-
0.08x + 0.08y = 2400
----------------------------------
0x + 0.01y = 190
Divide both sides by 0.01
0.01y/0.01 = 190/0.01
y = = 19,000
Use [1] to get value of x
x + y = 30,000
x + 19,000 = 30,000
x = 30,000 - 19,000
x = 11,000
Find an equation for the perpendicular bisector of the line segment whose
endpoints are (-3, 2) and (7, 6).
Answer:
The perpendicular bisector of the line segment whose endpoints are (-3, 2) and (7, 6) is y = - 2.5x + 9================
Given Points (-3, 2) and (7, 6)To findThe equation of the perpendicular bisector of the segment with given endpoints.SolutionFind the midpoint of the segment and its slope to determine the perpendicular line passing through the midpoint.
The midpoint has coordinates:
x = ( - 3 + 7)/2 = 4/2 = 2,y = (2 + 6)/2 = 8/2 = 4.The slope:
m = (6 - 2)/(7 - (-3)) = 4/10 = 2/5We know perpendicular lines have opposite/reciprocal slopes.
So the slope of the perpendicular bisector is:
m = - 1/ (2/5) = - 5/2 = - 2.5Use the coordinates of the midpoint and point-slope equation to determine the line:
y - 4 = -2.5(x - 2)y - 4 = - 2.5x + 5y = - 2.5x + 5 + 4y = - 2.5x + 9Answer:
[tex]y=-\dfrac{5}{2}x+9[/tex]
Step-by-step explanation:
A perpendicular bisector is a line that intersects another line segment perpendicularly and divides it into two equal parts.
Given endpoints of the line segment:
(x₁, y₁) = (-3, 2)(x₂, y₂) = (7, 6)Substitute the given endpoints into the slope formula to find the slope of the line segment:
[tex]\implies \textsf{Slope $m$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{6-2}{7-(-3)}=\dfrac{4}{10}=\dfrac{2}{5}[/tex]
If two lines are perpendicular to each other, their slopes are negative reciprocals.
Therefore, the slope of the perpendicular line is -⁵/₂.
Find the midpoint of the given line segment by substituting the given endpoints into the midpoint formula:
[tex]\implies \textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)[/tex]
[tex]\implies \textsf{Midpoint}=\left(\dfrac{7-3}{2},\dfrac{6+2}{2}\right)[/tex]
[tex]\implies \textsf{Midpoint}=\left(\dfrac{4}{2},\dfrac{8}{2}\right)[/tex]
[tex]\implies \textsf{Midpoint}=\left(2,4\right)[/tex]
To find the equation of the perpendicular bisector, substitute the found slope and midpoint into the point-slope form of a linear equation:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-4=-\dfrac{5}{2}(x-2)[/tex]
[tex]\implies y-4=-\dfrac{5}{2}x+5[/tex]
[tex]\implies y=-\dfrac{5}{2}x+9[/tex]
Therefore, the equation for the perpendicular bisector of the line segment whose endpoints are (-3, 2) and (7, 6) is:
[tex]\boxed{y=-\dfrac{5}{2}x+9}[/tex]
the radius of a closed right circular cylinder is increasing at a rate of 5 inches per minute and the height is decreasing at a rate of 3 inches per minute. (a) what is the rate of change of the volume of the cylinder when the radius is 10 inches and the height is 20 inches? round your final answer to the nearest thousandth. (b) what is the rate of change of the surface area of the cylinder when the radius is 10 inches and the height is 20 inches? round your final answer to the nearest thousandth.
When the radius is 10 inches and the height is 20 inches
(a) rate change of the volume of the cylinder is 5340.7 inch²/min.
(b) rate of change of the surface area of the cylinder is 1068.14 inch²/min.
Volume and surface area of the closed cylinder both increase with time.
Let r be the Radius and h be the height of the cylinder in inches at time t.
[tex]\frac{dr}{dt} =5[/tex] inch/min and [tex]\frac{dh}{dt} =-3[/tex] inch/min
Let V be the volume of the cylinder then
Differentiating with respect to t,
[tex]\frac{dV}{dt} =2\pi r(\frac{dr}{dt} )h+\pi r^{2} \frac{dh}{dt}[/tex]
At r=10 inch and h=20 inch,
[tex]\frac{dV}{dt} =1700\pi =[/tex] 5340.7 inch²/min ≈ 5000 inch²/min
Thus, it is increasing with time as it has a positive sign.
Let S be the surface area of a closed cylinder
[tex]\frac{dS}{dt} =2\pi r(\frac{dr}{dt} )h+2\pi r(\frac{dr}{dt} )+4\pi (\frac{dr}{dt} )r[/tex]
At r=20 inch and h=20 inch
[tex]\frac{dS}{dt} =340\pi =[/tex] 1068.14 inch²/min ≈ 1000 inch²/min
It is also increasing with time as it is also having a positive sign.
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What’s the answer to this ???
ONLY ANSWER IF YOU KNOW !!!!
A polynomial function of degree 3 with real coefficients and given zeros of -3, -1, and 4 is 4(x - 4)(x + 3)(x + 1) for which f(-2) = 24.
Any modifying value connected to a variable through multiplication is referred to as a "coefficient." Any non-imaginary number is a "real" number
How do you locate a degree 3 polynomial with real coefficients?
A polynomial of degree 3 must take the form a(xr1)(xr2)(xr3) since it has three roots. We are provided with the roots 3, 1, and 4. So, all we have to do is change these to r1, r2, and r3. We now get a(x+3)(x+1)(x4).
We must first factor the provided polynomial equation into a linear and quadratic equation in order to obtain the roots of the three-degree polynomial. The zeros of the three-degree polynomial can then be easily found.
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Lexi and Raymond are hosting events that are catered by the same company. Lexi plans to have 63 adults and 59 children attend, so the total projected cost of her meals is $2,582. Raymond has 63 adults and 93 children on her guest list, so he will pay the caterer $3,126. How much does the caterer charge for each meal?
Every adult's meal costs $
, and every child's meal costs $
.
The cost for children meal is $16 and the.cost for adult meal is $26.
How to calculate the value?Let cost of adult meal = a
Let cost of child meal = c
Lexi plans to have 63 adults and 59 children attend, so the total projected cost of her meals is $2,582.This will be:
63a + 59c = 2582 ...... i
Raymond has 63 adults and 93 children on her guest list, so he will pay the caterer $3,126. This will be;
63a + 93c = 3126 ...... ii
Collect both equations
63a + 59c = 2582 ...... i
63a + 93c = 3126 ...... ii
Subtract i from ii
34c = 544
Divide
c = 544 / 34
c = 16
The cost of children meal is $16.
From equation i, 63a + 59c = 2582
63a + 59(16) = 2582
63a + 944 = 2582
Collect like terms
63a = 2582 - 944
63a = 1638
a = 1638/63
a = 26
Adult meals is $26.
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{3x}^{2} + 4x + 1 = 0 using
: completeing the square method
Quadratic formulae
Answer:
Solve with the Quadratic Formula
Let's solve your equation step-by-step.
(3x)2+4x+1=0
Step 1: Simplify both sides of the equation.
9x2+4x+1=0
For this equation: a=9, b=4, c=1
9x2+4x+1=0
Step 2: Use quadratic formula with a=9, b=4, c=1.
x=
−b±√b2−4ac
2a
x=
−(4)±√(4)2−4(9)(1)
2(9)
x=
−4±√−20
18
Answer:
No real solutions.
Step-by-step explanation:
I did my best
what are the coordinates of a’?
3x+y-77=0
Can anyone help me with this question it would really help me out
the answer is in the photo I took of solving it
The lines represented by the equations
12
y
−
4
x
=
84
12y−4x=84 and
y
=
−
3
x
+
8
y=−3x+8 are
The two linear equations are perpendicular.
What are the lines?
Here we have the two linear equations:
12y - 4x = 84
y = -3x + 8
If we write both of them in the slope-intercept form (as the second one) we will get:
12y - 4x = 84
12y = 4x + 84
y = (4x + 84)/12
y = (1/3)*x + 7
Now, if we take the product of the slopes of the two lines, we get:
p = -3*(1/3) = -1
when this product is -1, the lines are perpendicular, so that is the relation between our lines.
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A small square has an area of 40 inches squared. A large square has sides that are 8 times longer than the small square. What is the area of the large square?
Solution
Given that
Area f small square = 40 inches squared.
[tex]\begin{gathered} a=40 \\ \\ \text{ since a}=l^2 \\ \\ \Rightarrow40=l^2 \\ \\ \Rightarrow l=\sqrt{40} \end{gathered}[/tex]Let the side of the large square be L
Since the large square has sides that are 8 times longer than the small square
=> L = 8l
[tex]\begin{gathered} \Rightarrow L=8l \\ \\ \Rightarrow L=8(\sqrt{40}) \end{gathered}[/tex]Hence, the area of Large square is;
[tex]A=L^2=(8\sqrt{40})^2=64\times40=256[/tex]Hence, the area of the large square is: 256 inches squared.
PLEASE HELP 20−(2)(−7)+(−9)÷(−3)
Answer:
37
Step-by-step explanation:
Use PEMDAS, in this case, start with multiplication: (2)(-7), don't forget there is a minus sign in front of the two which is important later, then move on to dividing (-9) by (-3). Then you are left with 20-(-14)+3, which is the same as 20+14+3, which equals 37.
Which is the order from least to greatest of the following: 4/3, 0.8, 1/5, 30%?
Answer:
1/5, 30%, 0.8, 4/3
Point Pis on line segment OQ.Given OQ = 4s – 10, OP = 23, and PQ = I,determine the numerical length of OP.
P
OQ = 4S - 10
OP = 23
PQ = 1
Equation
OQ = OP + PQ
Substitution
4S - 10 = 23 - 1
Simplification
4S = 22 + 10
4S = 32
S = 32/4
S = 8
Determine OP
OQ = 4(8) - 10
OQ = 32 - 10
OQ = 22
what do all the captain codes of ethnics have in common ?A.they all identify four or ethnic or principles of accounting B.they all spend hundreds of pages covering confidentiality C.they all go into great detail on the responsibilities of accountants D. they all separate accounting principles into three categories (just answer)
An accountant’s ethical code of conduct represents the moral values, principles, and rules that accountants should have.
The ethical codes of conduct of AICPA and IFAC are the two main codes most countries adopt to guide their members on how to deal with accounting information from an ethical perspective.
The fundamental principles within the Code – integrity, objectivity, professional competence and due care, confidentiality, and professional behavior – establish the standard of behavior expected of a professional accountant (PA) and it reflects the profession’s recognition of its public interest responsibility.
The common thing in all accounting codes of conduct is that "they all go into great detail on the responsibilities of accountants."
Therefore, the correct option is OPTION
assume that movement of a molecule is limited. it can move to the opposite side of the container or stay where it is. if the movement is random, what is the probability (0-100%) that the molecule will move to the opposite side?
The Probability that that the molecule will move to the opposite side is 50% .
In the question ,
it is given that
there a molecule is free to move to the opposite side of the container , or stay where where it is ,
As per the given information
the molecule can move to opposite side or stay where it is ,
and the movement of the molecule is random
as the container had two sides ( shown in figure given below )
the probability that the molecule moves to the opposite side is 1/2 ,
in percent it can be written as 50% .
the correct option is (c) .
Therefore , The Probability that that the molecule will move to the opposite side is 50% .
The given question is incomplete , the complete question is
Assume that movement of a molecule is limited. it can move to the opposite side of the container or stay where it is. if the movement is random, what is the probability (0-100%) that the molecule will move to the opposite side?
(a) 0%
(b) 25%
(c) 50%
(d) 100%
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On average, people breath 10,000 times per night with a standard deviation of 1400. You study 50 people and record how many breaths they take per night. What is the probability that the average of all participants in the study was fewer than 10,200 breaths each night?I want answer with step by step.
ANSWER
[tex]\begin{equation*} 0.84375 \end{equation*}[/tex]EXPLANATION
We want to find the probability that the average of all participants in the study was fewer than 10,200 breaths each night.
To do this, first, we have to find the z-score corresponding to the sample mean:
[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]where x = sample mean
μ = population mean
σ = standard deviation
n = sample size
Therefore, the z-score is:
[tex]\begin{gathered} z=\frac{10200-10000}{\frac{1400}{\sqrt{50}}}=\frac{10200-10000}{\frac{1400}{7.0711}} \\ z=\frac{200}{197.99} \\ z=1.01 \end{gathered}[/tex]Now, using the standard normal table, we can find P(z < 1.01).
Therefore, the probabilityis:
[tex]P(z<1.01)=0.84375[/tex]That is the answer.
Avery is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The labor and materials cost $100 for each phone manufactured, and the total cost of producing 3 phones in a day would be $600. Write an equation for C, in terms of p, representing total cost, in dollars, of producing pp phones in a given day.
If Avery is in the business of manufacturing phones. The equation for C, in terms of p, representing total cost, in dollars, of producing pp phones in a given day is: 100p + 300.
Determining the equation for total costGiven data:
Labor and materials cost = $100
Numbers of phones = 3
Total cost = $600
Where,
P = Total cost
The equation for C in terms of p is:
100p + 300
Now let determine the total cost
Total cost = $600 + ( 3 × $100)
Total cost = $600 $300
Total cost =$600
Therefore 100p + 300 is the equation.
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Hey need help with this problem! Will give brainliest if right
Answer: 899.998434785 times more than the loser.
Hi can you please help on the q
Answer: 55
Step-by-step explanation: 180-78 to get the complementary angle. 180-157 to get complementary angle. 180-102+23 to get the last angle inside the triangle. 180-125 and get 55
[tex]\sqrt{x} ^2+2x-3[/tex]
The result of the expression given is 3x - 3
Simplification of Linear EquationTo solve this problem, we have to simplify the equation, and write the expression.
Given that
[tex]\sqrt{x^2}+ 2x -3[/tex]
For every square root having a square inside, they both cancel out each other to have the variable only.
Lets apply that in this expression
[tex]\sqrt{x^2} + 2x - 3\\x + 2x - 3[/tex]
To solve the expression, we would have the final answer to the question.
[tex]x + 2x - 3\\3x - 3[/tex]
The value of the expression given is 3x - 3
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Pls help i domt get this
Answer:
[tex]5^{15}[/tex] × 120 = 30,517,578,125 × 120
Step-by-step explanation:
freddy is having a fall harvant party for his friends they have 30 to decorate and 36 sets of material to make mini scarecrows how many kids decorate pumpkins and make scarecrows if he wants each person to have the same amount of crafts with nno left overs material
Based on the highest common factor, the number of kids that can decorate 30 pumpkins equally and make scarecrows from the materials without leftovers is 5.
What is the highest common factor?The highest common factor (HCF) is the number that can divide between 30 and 36 without a remainder.
Pumpkins Materials
Units 30 36
HCF 6 6
Average used 5 6
Thus, dividing 30 and 36 by their HCF of 6, respectively, shows that 5 kids can decorate the 30 pumpkins using 6 materials each to make the scarecrows.
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The number of kids who can decorate 30 pumpkins equally and make scarecrows from the materials without leftovers would be; 5.
What is factorization?factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.
The highest common factor (HCF) is defined as the number which can divide between 30 and 36 without a remainder.
Given that they have 30 to decorate and 36 sets of material to make mini scarecrows.
Their HCF is 6. The averages used are 5 and 6 respectively.
Hence, their HCF of 6, shows that 5 kids can decorate the 30 pumpkins by using 6 materials each to make the scarecrows.
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A volume of the cone is 1/3 the volume of a cylinder. The volume of the sphere is what fraction of the volume of the cylinder?
The volume of the sphere is 4/3 times the volume of the cylinder.
What is a cone?It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.
We have,
The volume of the cone is 1/3 the volume of a cylinder.
The volume of a cone is given as:
V = (1/3)πr²h ____(1)
The volume of a cylinder is given as:
V = πr²h _____(2)
From (1) and (2) we get,
(1/3)πr²h = 1/3 πr²h
The volume of a sphere:
V = 4/3 πr³
Since the height of the sphere and the radius is the same we can have
V = 4/3πr²h
So,
Volume of sphere = 4/3 x πr²h
The volume of the sphere = 4/3 x the Volume of the cylinder.
Thus,
The volume of the sphere is 4/3 times the volume of the cylinder.
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for her final project, stacy plans on surveying a random sample of 50 students on whether they plan to go to florida for spring break. from past years, she guesses that about 10% of the class goes. is it reasonable for her to use a normal model for the sampling distribution of the sample proportion? why or why not?
It is not reasonable to use a normal model for the sampling distribution of the sample because the data doesn't meet the success or failure consideration.
How to illustrate the information?The sample has a size of 50 students. The probability that she guesses that about 10% of the class goes is 10%
This will be illustrated as:
1 - p = 1 - 10% = 1 - 0.10 = 0.90
np = 50 × 0.1 = 5. This implies the number of successes.
In this case, the number of successes is less than 10. This is because 5 is less than 10. Therefore, the data doesn't meet the condition.
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study was made of seat belt use among children who were involved in car crashes that caused them to be hospitalized. it was found that children not wearing any restraints had hospital stays with a mean of 7.37 days and a standard deviation of 3 days with an approximately normal distribution. (a) find the probability that their hospital stay is from 5 to 6 days, rounded to five decimal places. (b) find the probability that their hospital stay is greater than 6 days, rounded to five decimal places.
The probability that their hospital stay is greater than 6 days is equal to 0.67724 and the probability that their hospital stay is from 5 to 6 days is equal to 0.108
Mean (μ) = 7.37
Standard deviation (σ) = 3
we need to calculate probability that their hospital stay is from 5 to 6 days i.e.
⇒ P(5 < X < 6) = P(X < 6)-P(X < 5)
Here we will use standard normal distribution where,
Z-score = (X -μ )/ σ = (6 - 7.37)/3 = -0.46
Z-score = (5 - 7.37)/3 = -0.79
from Z table we found p-value
⇒P(5<X<6) = P(X<6) - P(X<5) = 0.32276 - 0.21476 = 0.108
So there is 0.108 probability that their hospital stay is from 5 to 6 days.
we need to calculate probability that their hospital stay is greater than 6 days i.e.
We get: P(X > 6) = 1 − P(X < 6)
Here we will use standard normal distribution where,
Z-score = (X - μ)/σ = (6 - 7.37)/3 = -0.46
from Z table we found p-value
P(X > 6) = 1 - P(X<6) = 1 - 0.32276 = 0.67724
So there is 0.67724 probability that their hospital stay is greater than 6 days.
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what is the advantage of reducing process variation, thereby causing process control limits to be at a greater number of standard deviations from the mean? reducing the process standard deviation causes a - select your answer - in the number of defects.
A low standard deviation implies that the data exists grouped around the mean, whereas a large standard deviation indicates that the data exists more dispersed.
What is meant by standard deviation?The term "standard deviation" (or "σ") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data exists grouped around the mean, whereas a large standard deviation indicates that the data exists more dispersed.
The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
Because it aids in comprehending measurements when the data is scattered, standard deviation is significant. The standard deviation of the data will be higher the more evenly dispersed the data is.
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Please fill in the blanks. I set it as 30 but I don't know how many points you get for answering lol
The function is power function. The power of the function is -3, the constant of variation is k, and the independent variable is d.
In this question, we have been given a function y = k/d³
We need determine whether function is power function or not.
We know that, a power function is of the form y = x ^n where n is any real number.
We can write given function as,
y = k × d^(-3)
Given that, k represents a constant.
Here, the value of y depends on the value of d.
So, d is an independent variable and y is dependent variable.
also, the power of given function is -3
Therefore, the function is power function. The power of the function is -3, the constant of variation is k, and the independent variable is d.
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