Step-by-step explanation:
two
lines are paralle then they halve the same slope
m1=m2
m1=m2=1
L2:y-y1=m(x-x1)
y-4=1(x-(-2)
y-4=x+2
y=x+6 is equation of parallel lines.
What is the GIM of a strip mall with annual income of $547,500 and a value of $6,345,000?
Answer:
11.6Step-by-step explanation:
GIM means Gross Income Multiplier and it is a method used for valuating a property or an investment. It is expressed mathematically as the ratio of the property's value/sales price and its gross annual income.
GIM = Value of an investment/Gross annual income.
Given the annual income = $547,500 and Value = $6,345,000;
GIM = $6,345,000/$547,500
GIM = 11.589
GIM ≈ 11.6
Hence, the Gross Income Multiplier of the strip mall is approximately 11.6.
GIM has no units.
Sophia is younger than Mohal. Their ages are consecutive odd integers. Find Sophia's age if the product of their ages is 15.
Answer:
\(3\)
Step-by-step explanation:
\(\mathrm{Let\ the\ age\ of\ Sophia\ be\ }x\mathrm{\ and\ age\ of\ Mohal\ be\ }x+2.\\\mathrm{Given,}\\\mathrm{Product\ of\ their\ ages = 15}\\\mathrm{or,\ }x(x+2)=15\\\mathrm{or,\ }x^2+2x=15\\\mathrm{or,\ }x^2+2x-15=0\\\mathrm{or,\ }x^2+5x-3x-15=0\\\mathrm{or,\ }x(x+5)-3(x+5)=0\\\mathrm{or,\ }(x+5)(x-3)=0\\\mathrm{i.e.}\ x=-5\ \mathrm{or}\ 3.\)
\(x=-5\ \mathrm{is\ disgarded\ because\ age\ cannot\ be\ negative.}\\\mathrm{So\ the\ age\ of\ Shopia,\ }x=3\)
which point is on the line 4y-2x=0
Answer:
(2,1)
Step-by-step explanation:
The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.
So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:
4(1) - 2(2) = 0
So the point (2,1) is on the line.
A local city park rents kayaks for $3.75 per hour. If a customer rents for four or more hours, the cost is only $3.25 per hour, plus a $5 processing fee. If C(x) represents the total cost and x represents the number of rental hours, which of the following functions best models this scenario?
C of x equals 3.75 times x if x is less than 6 and 3.25 plus 5x if x is greater than 6.
C of x equals 3.75 times x if x is less than or equal to 5 and 3.25x minus 5 if x is greater than 6.
C of x equals 3.75 times x if x is less than 6 and 3.25x plus 5 if x is greater than or equal to 6.
C of x equals 3.75 times x if x is less than 5 and 3.25x minus 5 if x is greater than or equal to 6.
The function that best models this scenario is C of x equals 3.75 times x if x is less than 5 and 3.25x plus 5 if x is greater than 6.
How to calculate the value?Let the number of hours be illustrated as x. In this situation, local city park rents kayaks for $3.75 per hour. This will be:
= 3.75 × x
= 3.75x
Also, customer rents for four or more hours, the cost is only $3.25 per hour, plus a $5 processing fee. This will be illustrated as:
= 5 + (3.25 × x)
= 5 + 3.25x
Learn more about expressions on;
brainly.com/question/723406
#SPJ1
write y+4=-2(x-1) in slope intercept form
Answer:
y=2x-6
Step-by-step explanation:
y+4=-2(x-1)
Since the slope intercept form is in the form of:
y=mx+c
Making above equation in this form.
y+4=-2(x-1)
opening bracket
y+4=2x-2
subtracting both side by 4.
y+4-4=2x-2-4
y=2x-6
This equation is the slope intercept form.
Helppp! Please!! !!!!!!!!
Answer: Red
Step-by-step explanation: simple look at which one is in the middle the middle of 20 and 30 is 25 simple hoped it helped
Supóngase que el 2% de la población en promedio son zurdos. La probabilidad que en 100 personas haya 3 o más zurdos es
The probability of 3 or more deaf people in a sample of 100 is given as follows:
0.3633 = 36.33%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The values of the parameters for this problem are given as follows:
p = 0.02, n = 100.
The probability of 3 or more deaf people are given as follows:
P(X >= 3) = 1 - P(X < 3).
In which:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).
Hence:
P(X = 0) = 0.98^100 = 0.1326.P(X = 1) = 100 x 0.02 x 0.98^99 = 0.2707.P(X = 2) = 99 x 50 x 0.02² x 0.98^98 = 0.2334.Thus:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)
P(X < 3) = 0.1326 + 0.2707 + 0.2334
P(X < 3) = 0.6367.
P(X >= 3) = 1 - P(X < 3).
P(X >= 3) = 1 - 0.6367.
P(X >= 3) = 0.3633.
TranslationWe suppose that 2% of the population is deaf, and want to find the probability of 3 or more deaf people in a sample of 100.
More can be learned about the binomial distribution at https://brainly.com/question/24756209
#SPJ1
On a super clearance sale, bathing suits were marked 85% off. What is
the sale price of a bathing suit that was originally priced $60?
Answer: $9
Step-by-step explanation: 85% off means when you multiply the number by 0.85 you subtract that from the original number, 60 times 0.85 is 51 and 60-51=9! Hope this helps!
You accept a job with a salary of $35,600. After 6 months, you recieve a 6% raise. What is your new salary?.
Answer:
get troll lol
Step-by-step explanation:
I'm sorry i just need points
Casey was asked to find XY. What is Casey error?
Answer:
\(XY=2YZ\\XY=2\times4\\XY=8\)
The value of XY is given by the trigonometric relation and the measure of side of the triangle is XY = 8
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented as XYZ
Let the measure of the side XY of the triangle be A
The measure of side YZ = 4
Now , from the trigonometric relations , we get
sin θ = opposite / hypotenuse
when θ = 30°
Substitute the value of θ in the equation , we get
sin θ = YZ / XY
On simplifying the equation , we get
sin 30° = 4 / XY
Multiply by XY on both sides of the equation , we get
XY ( sin 30° ) = 4
The value of sin 30° = 1/2
So , XY / 2 = 4
Multiply by 2 on both sides of the equation , we get
XY = 8
Hence , the measure of side XY of triangle is XY =8
To learn more about trigonometric relations click :
https://brainly.com/question/14746686
#SPJ2
what is the answer?!?!??!
Answer:
Option D
Step-by-step explanation:
It forms a linear pair (Angles on a straight line) with one of the interior angles of the triangle.
Answer:
D
Step-by-step explanation:
A linear pair of angles is when two angles add up to 180 degrees on a line.
Interior angles and exterior angles form a linear pair.
PLEASE HELP IM GOING TO FAIL!!!
Answer:
D.
Step-by-step explanation:
the slope is going up 1 over 2 and the 1 is the y....hope this helps.
A rope is rated to hold 21
2
pounds before it breaks. Estimate by rounding to the nearest pound how many
25
-pound weights the rope will hold.
Anwser:
A) 7 weighs
B) 11 weights
C) 5 weights
D) 9 weights
Answer:
8 but choose 7 A.
Step-by-step explanation:
Divide 25 into 212
You get 212 / 25 = 8.48
Ignore the 0.48
You can have 8 but if you are estimating, then 7 will do. 9 and especially 11 are too many.
You can do better than 5.
Two boxes have the same volume. One box has a base that is 5cm by 5 The other box has a base that is 10cm by 10cm
How many times as tall is the box with the smaller base?
Answer:2
Step-by-step explanation:
PLEASE HELP
Part A: Create a fifth-degree polynomial with three terms in standard form. How do you know it is in standard form? (5 points)
Part B: Explain the closure property as it relates to subtraction of polynomials. Give an example. (5 points)
A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.
Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The coefficient of the highest degree term (x^5) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.
Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and \(x^{2}\) + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.
Learn more about polynomial here:
https://brainly.com/question/28936357
#SPJ1
A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.
Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The coefficient of the highest degree term (\(x^{5}\)) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.
Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.
Learn more about polynomial here:
https://brainly.com/question/28936357
#SPJ1
30 POINTS!!! PLEASE HELP ME! ASAP
Answer:
I think is higher
Step-by-step explanation:
how to solve 8-5x=23
ANSWER:
The value of x is -3
STEP-BY-STEP EXPLANATION:
We have the following equation:
\(8-5x=23\)Solving for x:
\(\begin{gathered} -5x=23-8 \\ x=\frac{15}{-5} \\ x=-3 \end{gathered}\)What kind of triangle would angels of 24, 52 and 104 degrees?
Answer:
There are 180 degrees in the 3 angles of a triangle.
Step-by-step explanation:
Someone help me please
Determine the tangent of < A
Answer:
B
Step-by-step explanation:
The tangent of an angle is the ratio of the opposite side to the adjacent.
With respect to Angle A, the opposite side is 12.
And the adjacent side is 5.
Therefore:
\(\displaystyle\tan(A)=\frac{\text{opp}}{\text{adj}}=\frac{12}{5}\)
The answer is B.
what is the slope of the line
it takes matilda twice as long to complete a research project
Answer to this question prove by induction
Answer:
solution: \(Sn= \frac{a_{1} (1-q^{n} )}{(1-q)} = \frac{1(1-4^{n}) }{1-4} = \frac{4^{n}-1 }{3}\)
Step-by-step explanation:
This is a geometric series. Common ratio is 4.y = f(x) = -1x
find f(x) when x = 3
Hello!
f(x) = -1x
f(3) = -1*3 = -3
What is the missing statement in the proof? Scroll down to see the entire proof. a ∠BDC≅∠ADB b ∠BCA≅∠DCB c ∠BAC≅∠BAD d ∠DBC≅∠BAC
The missing statement in the proof specified is given by: Option B: ∠BCA≅∠DCB
What is the reflexive property of congruence?
According to the reflexive feature of congruence, the geometric quantity under consideration—be it an angle, a line segment, a form, etc.—is congruent to itself.
The third step's key concept in this instance is the "Reflexive Property of Congruence."
The fourth phase comes to the conclusion that the ΔABC~ΔBDC criteria for similarity are met.
Since it was established in the second stage that ∠ABC≅∠BDC
Therefore, in order for the fourth step to apply angle-angle similarity, which requires the angles of two considered triangles to be congruent, we must demonstrate another angle pair of triangles ΔABC and ΔBDC being congruent in the third step.
Internal angle C is the common angle in the triangles ABC and BDC.
As a result, it is consistent with itself due to its reflexive characteristic.
We obtain the following notation for internal angle C from triangle ABC:
Angle ACB and BCA(both will work)
Triangle BDC gives us the following notation for internal angle C:
Angle DCB and BCD(Both will function.)
They fit together. The second choice takes angle C into account, so:
∠BCA≅∠DCB (second option) is the missing statement.
Learn more about the reflexive property of congruency here:
brainly.com/question/862440
#SPJ4
which of the following statements are equivalent to the statement "the price increased by 1/2 if what it was before"
Answer:
The question is incomplete
Answer:
It was 1/3 before
Step-by-step explanation:
Which of the following would be a solution to the system of inequalities below?
A (3, 2)
B (3, 5)
C (3, 0)
D (3, -1)
please help with this question
The statistics that always corresponds to the 75th percentile in a distribution include the following: B. Third Quartile.
What is an interquartile range?In Mathematics and Statistics, IQR is an abbreviation for interquartile range and it can be defined as a measure of the middle 50% of data values when they are ordered from lowest to highest.
Mathematically, interquartile range (IQR) of a data set is the difference between third quartile (Q₃) and the first quartile (Q₁):
IQR = Q₃ - Q₁ = 75th percentile - 25th percentile.
In this context, we can reasonably infer and logically deduce that the 75th percentile in a distribution is always equal to the third quartile.
Read more on interquartile range (IQR) here: brainly.com/question/17658705
#SPJ1
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is miles per hour, with a standard deviation of miles per hour. Estimate the percent of vehicles whose speeds are between miles per hour and miles per hour. (Assume the data set has a bell-shaped distribution.)
Approximately % of vehicles travel between 61 miles per hour and 71 miles per hour.
Answer:
68%
Step-by-step explanation:
We observe that the mean of the sample is (61+71)/2 = 66 mph which means the standard deviation of the sample is 5 because 66-5=61 and 66+5=71. The Empirical Rule states that for data observed in a normal distribution, 68% of data will fall within one standard deviation of the mean. Therefore, approximately 68% of vehicles travel between 61 miles per hour and 71 miles per hour.
Fill in the blank
The value of 8 dimes is _______% of the value of a dollar.
One dime is worth 10 cents. So, if you have 8 dimes, times the value of 10 cents, you have 80 cents. One dollar is equal to 100 cents.
Hope this helps!
Lowe's put an advertisement out looking for a department Asst. Manager. They pay
$850 weekly. If Joshua accepts the job, what will he make annually
Answer:
40800
Step-by-step explanation:
4 weeks = 1 month
So we use,
850 * 4 = 3400 (monthly)
12 months = 1 year
So we use,
3400 * 12 = 40800 (annually)