The value of a for which the equation has an infinite number of solutions is 5.
The solution to the equation: The result is a distribution of weights to the variables involved, establishing a balance in the calculation.
The equation given is written below:
Both sides of the equation must have the same value for an infinite number of solutions.
12x + 30 = 6(2x + a)
Simplifying the equation:
12x + 30 = 12x + 6a
Canceling 12x both sides. We get,
the value of a = 5
The value of a for which the equation has an infinite number of solutions is 5.
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a workbook contains a list of houses and the months that they were sold in several cities in florida in june. you are interested in determining the average price of sold houses in ft. lauderdale. what function is best suited for this calculation? (1 point) maxifs averageifs sumif averageif
As per the statement the function which is best suited for this calculation is averageif.
What is averageifs?In Microsoft Office Excel, averageifs may be a function that helps to determine the average of cells that follow different criteria. Averageif is one among many functions under the "Statistic" category. the standards for averageifs can be words or a range of numbers which allows more diverse analysis compared to other average functions.While averaging the equation this option is very easy to implement. you need not recall any formula just go for the formulas option at tabs in excel there are many formulas such as SUMIF, MAXIFS ETC.To know more about averageifs visit:
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The sum of a number, it’s square, and it’s square root is 93. What is the number
Answer:
The answer is 9How I got the answer:
93 doesn't have an exact square root. So, we need to try numbers that fit with the equation.
x will be less than the square root of 93. Since the square root of 93 is between 9 and 10. The largest perfect square that we can try is 9. Let us see if that number works.
x + x² + √x = 93
9 + 9² + √9 = 93
9 + 81 + 3 = 93
93 = 93 ✔
It does work.
So the number is 9.
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consider the sequence {20, 17, 14, 11, 8, 5, 2...}. what is the value of sum from n equals 3 to 6 of a subscript n?
The value of the sum of the arithmetic sequence from a₃ to a₆ is 38
What is an arithmetic sequence?An arithmetic sequence is a sequence in which the difference between two consecutive terms is a constant.
The first term of the sequence is 20, the common difference is 17 - 20 = 14 - 17 = 11 - 14 = 8 - 11 = 5 - 8 = 2 - 5 = -3
The sum from n = 3 to n = 6 of aₙ is found as follows;
The sequence is an arithmetic progression of the form aₙ = a + (n - 1)·d
Where;
aₙ is the value of the nth term
a = The first term
d = The common difference
From the sequence, we have;
a = 20, d = -3, from which we have;
aₙ = 20 + (n - 1) × (-3) = 20 - 3·(n - 1)
aₙ = 20 - 3·(n - 1)
From which we have;
a₃ = 20 - 3×(3 - 1) = 14
a₄ = 20 - 3×(4 - 1) = 11
a₅ = 20 - 3×(5 - 1) = 8
a₆ = 20 - 3×(6 - 1) = 5
a₃ + a₄ + a₅ + a₆ = 5 + 8 + 11 + 14 = 38
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A survey of 225 students showed the mean number of hours spent studying per week was 20. 6 and the standard deviation was 2. 7. Assuming a 90% confidence level, the margin of error is approximately.
The margin of error is approximately 0.3
To answer the question, we must figure out what margin of error corresponds to a 90% confidence level. The definition of the margin of error used to create confidence intervals for the population mean is as follows;
Mean = μ = 20.6
Standard deviation = σ = 2.7
Number of students = n = 225
the result of the sample mean's standard error and the accompanying z-score. The formula used to compute the sample mean's standard error is;
⇒ σ / √n
The z-score associated with a 90% confidence level:
From the given table z-score is 1.645
Therefore, the margin of error;
σ / √n * 1.645 = 2.7/√225 * 1.645
= 0.296
Hence, the margin of error is approximately 0.3
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Answer:
Approximately 0.3 of an error is allowed.
Given data in question
Confidentialevel=90%
Mean = μ = 20.6
2.7 as the standard deviation
N = 225 students are enrolled.
the outcome of the standard error of the sample mean and the corresponding z-score. The formula used to determine the standard error of the sample mean is;
⇒ σ / √n
The z-score for a 90% degree of confidence is:
Z-score for the provided table is 1.645.
Consequently, the error margin;
σ / √n * 1.645 = 2.7/√225 * 1.645
= 0.296
Consequently, the margin of error is roughly 0.3.
Given that sin 2π/3= cos y, first express 2π/3 as a sum of π/2 and angle and then apply a trigonometric identity to determine the measure of angle y.
Answer:
[tex]y=\frac{\pi}{6}[/tex]
Step-by-step explanation:
Given that:
[tex]\sin(\frac{2\pi}{3})=\cos y[/tex]
Substitute the value [tex]\frac{2\pi}{3}=\frac{\pi}{2}+\frac{\pi}{6}[/tex].
[tex]\sin(\frac{\pi}{2}+\frac{\pi}{6})=\cos(y)[/tex]
(Using the formula: [tex]\sin(\alpha+\beta)=\sin\alpha\cos\beta+\cos\alpha\sin\beta[/tex])
[tex]\sin\frac{\pi}{2}\cos\frac{\pi}{6}+\cos\frac{\pi}{2}\sin\frac{\pi}{6}=\cos y[/tex]
Using [tex]\sin\frac{\pi}{2}=1, \cos\frac{\pi}{2}=0[/tex], we obtain:
[tex]1\times\cos\frac{\pi}{6}+0\times \sin\frac{\pi}{6}=\cos y[/tex]
This is equivalent to:
[tex]\cos\frac{\pi}{6}=\cos y[/tex]
Applying cos inverse on both sides, we get:
[tex]y=\frac{\pi}{6}[/tex]
the caspian sea is 92 feet below sea level. sea level is considered 0 feet. what number presents this height in feet of the caspian sea
Caspian Sea is elevated at 92 feet (or 28 meters) below sea level. (globally preferred unit is meters)
On the scale of sea levels, a certain height has been assigned zero elevation. This acts as a reference point for rest of the measurements and is called Mean Sea Level (MSL). It is also known as still water level.
Caspian Sea at 92 feet below sea level means it is 92 feet below MSL. Thus, its elevation is considered 92 feet below sea level.
Global MSL is calculated using the spatial average of the complete ocean's level.
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a large office desk has an area of 42ft4. if the width is 3.5 feet, write an equation to represent the area
The equation to represent the area of the.large office is 3.5l = 42.
What is a equation?An equation is simply used to illustrate the relationship between the variables given.
In this case, the large office desk has an area of 42ft² anz the width is 3.5 feet. It should be noted that the area is calculated as:
= Length × Width
Therefore, l × w = 42
where w = 3.5
l × 3.5 = 42
3.5l = 42
Therefore, the equation is 3.5l = 42
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tissues cost $3.48 per box . how many boxes did nancy buy if she spent $17.40? Write an equation and solve .
Answer:
She purchased 5 boxes
Step-by-step explanation:
17.40 ÷ 3.48 = 5
please help i need answers and i need them now!!!!
The evaluation of the quadratic equations are as follows;
Question 5
No solutionQuestion 6
Yes; (x - 8)² = 4Question 7
Sometimes; Factoring
Always; Quadratic formula
Always; Completing the square
Sometimes; Square root method
Sometimes; Factoring by group
Question 8
The numerator are;
(a) 8
4
(b) The denominator value;
4
(c) The roots are;
2
1
What is a quadratic equation?A quadratic equation is an equation of the form; a·x² + b·x + c = 0
Question 5
The quadratic equation, x² + 6·x + 10 = 0
The discriminant is 6² - 4×1×10 = -4
The discriminant < 0, therefore, the equation does not have solution
Question 7
Factoring;
Method of solving equations work more when the coefficient of x and the constant can be expressed as a + b and a·b
Where;
a·b = The constant
a + b = The coefficient of x
Therefore, factoring works sometimes
Sometimes; Factoring
Quadratic formula
The quadratic formula is an equation that involves the use of the constant and the coefficients of x
The quadratic formula therefore works all the time
Always; Quadratic formula
Complete the square
The completing the square method works by rearranging the equation in the form;
a·x² + b·x + c ⇒ a·(x + m)² + n
Where;
m = b/(2·a),
n = c - (b²/(4·a))
The method therefore works all the time
Always; Completing the square
Square root method
The square root method involves placing the square term of the equation on one side of the equation and the constant term on the other side
The square root method works for equations that can be expressed in the form x² = b
The method works sometimes
Sometimes; Square root method
Factoring by group
The method involves finding the common factors and grouping based on the common factors
The method only works when there are common factors
Sometimes; Factoring by group
Question 8
The equation is 2·x² - 5·x = x - 4,
Writing the equation so that we have;
2·x² - 5·x - x + 4 = 0
2·x² - 6·x + 4 = 0
x = (6 ± √((6² - 4× 2 × 4))/(2×2) =
Therefore;
x = 8/(2×2) or x = 4/(2×2)
The numerators are 8 and 4
8
4
(b) The denominator is (2 × 2) = 4
(c) The two roots of the quadratic equation are;
x = 8/4 = 2 and x = 4/4 = 1
2
1
Question 6
The equation, x² - 16·x + 64 = 4
The left side of the equation can be factored as follows;
x² - 16·x + 64 = 4
x² - 8·x - 8·x + 64 = 4
(x² - 8·x) + (64 - 8·x) = 4
x·(x - 8) - 8·(x - 8) = 4
(x - 8)·(x - 8) = (x - 8)² = 4
Yes; (x - 8)² = 4
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Express the following ratio as a unit rate. Round to the nearest tenth, if necessary. 5 inches of rain in 24 hours
0.21 inches of rain for one hour for ratio of 5 inches of rain in 24 hours
What is Division?A division is a process of splitting a specific amount into equal parts.
Given,
5 inches of rain in 24 hours
We need to find the unit rate.
For this we need to use the division.
Divide five by twenty four
5/24
Zero point two zero eight
0.208
Zero point two one
0.21
Hence 0.21 inches of rain for one hour for ratio of 5 inches of rain in 24 hours
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is there a statistically significant relationship between money spent on advertising and sales? test at the 5% level of significance and explain your approach (including hypotheses).
We can see that the p-value for above test is less than α=0.05 and it indicates that we have very strong evidence against H(0) to reject it and we can conclude that there is highly significant relationship between money spent on advertising and sales.
In the given question we have to find is there a statistically significant relationship between money spent on advertising and sales.
Here we have Sales(in $1000) as dependent variable (y) and spend on Advertising (in $1000) as independent variable (x).
The significance of relationship between x and y is given by the significance of regression coefficient of regression of y of x.
So we have to test
H(0): β1=0
H(1): β1≠0
From the table that is given below, we have;
b(1)=3.778221987
se(b(1)) =0.563520732
The test statistic to test the above hypothesis is
t=b(1)/se(b(1))
From the given output, we already have
t=6.704672556
p-value=0.0000146
We can see that the p-value for above test is less than α=0.05 and it indicates that we have very strong evidence against H(0) to reject it, so we reject the H(0) and we can conclude that there is highly significant relationship between money spent on advertising and sales.
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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
534,000
Step-by-step explanation:
12 days pass from may 10 to may 22 so we replace x with 12
190,000(1.09)^12
190,000(2.81266)
534406.309
But rounded to the nearest thousands
534,000
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solve the compound inequality-4x≤x-5<16
The solution to the compound inequality is 1 ≤ x < 21
Compound inequalityCompound inequality are type of inequality that has two or more parts.
In order to solve these simultaneous inequalities, we need to write them as two separate inequalities, and find the values of x that satisfy both of them
(-4x [tex]\leq[/tex]x-5 -------------------------------Equation 1
(x-5< 16) --------------------------------Equation 2
Move all the term to the left side
(-4x +(-x+5) ≤ (x-5) +(-x+5) ---------Equation 3
(x-5) +(-16) < 16+(-16)------------------Equation 4
We need to get rid of expression interval. If there is a negative sign in front of it, each term within the expression changes sign
(-4x -x +5 ≤x-5-x+5)-------------------Equation 5
( X-5 -16 < 16 -16) ----------------------Equation 6
Rearrange and Simplify equation (5 & 6)
(-5x+5 ≤ ) ---------------------------------Equation 7
(x -21 < 0)----------------------------------Equation 8
We need to get rid of expression interval and subtract 5 from equation (7) and add 21 to equation (8)
(-5x ≤ -5) ---------------Equation (9)
(x < 21)------------------Equation (10)
Divide equation (9) by 5 on both sides and flip the sign because of the negative
5x/ 5 ≥ 5/ 5
( x ≥ 1 )
(x < 21 )
Therefore the solution to the compound inequality is 1 ≤ x < 21
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What is the value of y in the solution to the system of equations?
1/3x + 1/4y =1
2X - 3y = -30
A. -8
B. -3
C. 3
D. 8
Answer:
D. 8
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}\dfrac{1}{3}x+\dfrac{1}{4}y=1\\\\2x-4y=-30\end{cases}[/tex]
Multiply the first equation by -6:
[tex]\implies -6 \cdot \dfrac{1}{3}x+-6 \cdot \dfrac{1}{4}y=-6 \cdot 1[/tex]
[tex]\implies -2x-\dfrac{3}{2}y=-6[/tex]
Add this to the second equation to eliminate x:
[tex]\begin{array}{rrcccl}&2x &- &3y& = &-30\\\phantom{\dfrac12}+ &(-2x& - &\frac{3}{2}y &= &\;\;-6)\\\cline{2-6} \phantom{\dfrac12}&0&-&\frac{9}{2}y&=&-36\\ \cline{2-6}\end{array}[/tex]
Solve the equation for y:
[tex]\implies -\dfrac{9}{2}y=-36[/tex]
[tex]\implies \dfrac{9}{2}y=36[/tex]
[tex]\implies 9y=72[/tex]
[tex]\implies y=\dfrac{72}{9}[/tex]
[tex]\implies y=8[/tex]
if you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a spade or queen?
Answer:
The answer is [tex]\frac{4}{13}[/tex].
Step-by-step explanation:
Additive rule:
According to this rule, the probability that events A or B will occur is given by the formula,
[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]
Here,
[tex]P(A\cup B)[/tex] means the probability of either event A occurring or B occurring.P(A) is the probability of event A.P(B) is the probability of event B.[tex]P(A\cap B)[/tex] means the probability of both event A and event B occurring.We know that there are 13 spades and 4 queens in a deck of 52 cards. Also, there is only one queen of a spade.
Then,
[tex]\begin{aligned}P(S)&=\frac{13}{52}\\P(Q)&=\frac{4}{52}\\P(S\cap Q)&=\frac{1}{52}\end{aligned}[/tex]
Therefore, the probability that the card you select is a spade or queen is given by,
[tex]\begin{aligned}P(S\cup Q)&=P(S)+P(Q) -P(S\cap Q)\\&=\frac{13}{52}+\frac{4}{52}-\frac{1}{52}\\&=\frac{16}{52}\\&=\frac{4}{13}\end{aligned}[/tex]
Therefore, the answer is [tex]\frac{4}{13}[/tex].
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what equations could i use with 1 2 3 4 5 to get 35
You could use
2x((2x5)+5+2)+1
Whatis the length of the hypotenuse of a right triangle with legs 6 meters and 8 meters?.
Answer:
10 meters
Step-by-step explanation:
Use the pythagorean theorem. 'c' represents the length of the hypotenuse of a right triangle.
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]6^{2} +8^{2} = 100\\[/tex]
[tex]c^{2} =100\\c=10[/tex]
Take the sq rt of 100 which is 10
Answer:
10 meters
Step-by-step explanation:
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
hypotenuse = √(6² + 8²)
hypotenuse = √(36 + 64)
hypotenuse = √100
hypotenuse = 10 m
seith's age is 3 years more twice his brother's age. The sum of their ages is 24. Find each of their ages
Nolan is blocking off several rooms in a hotel for guests coming to his wedding. The hotel can reserve small rooms that can hold 3 people, and large rooms that can hold 5 people. Nolan booked a total of 25 rooms which can accommodate 99 guests altogether. Determine the number of small rooms reserved and the number of large rooms reserved.
The number of small rooms reserved is 13 and the number of large rooms reserved is 12.
Given, Nolan is blocking off rooms for the guests. We will solve the problem using the linear equation. The number of small rooms is x and number of large rooms is y.
There are total of 25 rooms, which can be written as,
x+y=25 ------(1)
Small room can accommodate 3 people and large room 5 people, which can be written as follows,
3x+5y=99 --------(2)
Multiplying the equation 1 by 3, we get
3x+3y=75
Substracting equation 1 and 2, we get
3x+5y=99
3x+3y=75
- - -
---------------
0x+2y=24
2y=24
y=12
x+12=25
x=25-12
x=13
Therefore, the number of small rooms is 13 and large rooms is 12.
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Rewrite in vertex form by completing the square:
x^2+4x+3x
The required equation of a parabola expressed in vertex form is f(x) = (x + 2)² - 1.
What is the parabola in vertex form?The equation of a parabola expressed in vertex form is
y = a(x - h)² + k
Where a is a multiplier and (h, k) are the coordinates of the vertex
The expression is given in the question as
f(x) = x² + 4x + 3
To complete the perfect square:
We have to add/subtract ( half the coefficient of the x- term )² to x² - 4x
f(x) = x² + 2(2)x + 4 - 4 + 3
f(x) = (x + 2)² - 1
Thus, the required equation of a parabola expressed in vertex form is f(x) = (x + 2)² - 1.
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Write a program to calculate the total price for car wash services. A base car wash is $10. A dictionary with each additional service and the corresponding cost has been provided. Two additional services can be selected. A '-' signifies an additional service was not selected. Output all selected services, according to the input order, along with the corresponding costs and then the total price for all car wash services.
to calculate the total price for car wash services. A base car wash is $10. A dictionary with each additional service and the corresponding cost has been provided. Two additional services can be selected. A '-' signifies an additional service was not selected. Output all selected services, according to the input order, along with the corresponding costs and then the total price for all car wash services.
"""
Python version: 3.6
Python program to calculate the total price for car wash services
"""
# dictionary containing the services as keys and their price as values
services = {'Air freshener' : 1, 'Rain repellent' : 2, 'Tire shine' : 2, 'Wax' : 3, 'Vacuum' : 5}
# variable to store the base car wash price
base_wash = 10
# variable to store the total price
total = 0
# read the 2 services
service_choice1 = input()
service_choice2 = input()
print("ZyCar Wash")
# display the base wash price
print("Base car wash -- ${}".format(base_wash))
total += base_wash # add base_wash to total
# first service read is in services dictionary
if service_choice1 in services:
total += services[service_choice1] # add the price for the service to total
# display the service and its price from dictionary
print("{} -- ${}".format(service_choice1, services[service_choice1]))
# second service read is in services dictionary
if service_choice2 in services:
total += services[service_choice2] # add the price for the service to total
# display the service and its price from dictionary
print("{} -- ${}".format(service_choice2, services[service_choice2]))
# display the total price
print("----")
print("Total price: ${}".format(total))
# end of program
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amber bought a used car valued at $16,000. when this car was new, it was sold for $28,000. if the car depreciates exponentially at a rate of 9% per year, approximately how old is the car? round your answer to the nearest tenth of a year.
The car is about a year old if it depreciates exponentially at a rate of 9% per year 0.62
In order to know how old the car is, we will use the depreciation formula expressed below:
[tex]P_{t}=P_{0}e^{rt}[/tex]
[tex]P_t[/tex] is the final price = 16000
[tex]P_0[/tex] is the initial price = 28000
Given the rate of 0.09
Substitute the given parameters into the formula to get the time "t"
[tex]16000 = 28000e^{0.09t}[/tex]
[tex]\frac{16000}{28000} = e^{0.09t}[/tex]
t=0.5714/0.9139
This shows that the car is about a year old if it depreciates exponentially at a rate of 9% per year
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What kind of a number is √-9
Answer:√(9) is a rational number.
Step-by-step explanation:
Answer:This is a rational numer because it can be expressed in the form of p/q
Step-by-step explanation:If a number can be expressed int he form of p/q then its rational.
How do I factor this expression completely?
The factors of the given expression are [tex]\frac{(x-1)^{2}}{x^{\frac{3}{2} }}[/tex] .
What are the factors?In mathematics, a factor is a divisor of a given integer that divides it exactly, leaving no leftovers. We may employ a variety of techniques, including the division method and the multiplication method, to determine the factors of a given integer. When we need to split anything into equal rows and columns, compare prices, exchange money, and other real-world scenarios, we employ factors.
The given expression is [tex]x^{\frac{-3}{2}} -2x^{\frac{-1}{2} }+ x^{\frac{1}{2} }[/tex]
Apply the exponential rule [tex]a^{b+c}= a^{b}a^{c}[/tex], so we can write
= [tex]x^{\frac{-3}{2}} -2x^{\frac{-1}{2} }+ x^{\frac{-1}{2}}(x^{2\times\frac{1}{2}})[/tex]
Factor out the common term [tex]x^{\frac{-1}{2} }[/tex]
= [tex]x^{\frac{-3}{2}} + x^{\frac{-1}{2}}(-2+x^{2\times\frac{1}{2}})[/tex]
Apply the exponential rule [tex]a^{b+c}= a^{b}a^{c}[/tex],
= [tex]x^{\frac{-3}{2}}-2 x^{1}x^{\frac{-3}{2} }+ x^{2}x^{\frac{-3}{2}}[/tex]
Factor out the common term [tex]x^{\frac{-3}{2} }[/tex]
= [tex]x^{\frac{-3}{2} }(1-2x+x^{2})[/tex]
= [tex]x^{\frac{-3}{2} }(x-1)^{2}[/tex]
= [tex]\frac{(x-1)^{2}}{x^{\frac{3}{2} }}[/tex]
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Round 55 to the nearest ten
this is due in 30 min :(
Answer: 55 rounded to the nearest tenth is 60.
Step-by-step explanation: Hope this helps!!!
Answer: 60
Step-by-step explanation
The Hernandez family is on a road trip. They have been driving for 3 1/2 hours. They have listened to 4 CDs of equal length.
Part A
How long was each CD?
Part B
If the family has 1 hour of their drive left, how many CDs will they be able to listen to in the final hour?
Part A: The length (number of hours) of each CD is 0.875 hours.
Part B: The Hernandez family can listen each for 0.875 hours
Given that,
The Hernandez family is on a road trip. They have been driving for 3 1/2 hours. They have listened to 4 CDs of equal length.
What is an equation?
An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Part A
Let the length (number of hours) of each CD be x.
Now, x = 7/2 = 3.5/4 = 0.875
= 0.875 hours
Part B
If the family has 1 hour of their drive left, still they can listen 4 CDs.
Therefore, the Hernandez family can listen each for 0.875 hours.
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The coordinates of the midpoint of $\overline{gh}$ are $m\left(4,\ 3\right)$ and the coordinates of one endpoint are $g\left(5,-6\right)$ . the coordinates of the other endpoint are ( , ).
The coordinates of the midpoints of GH are M (4,3) and the coordinates of one endpoints are G (5,-6) the coordinates of the other endpoints are
The co - ordinates of another end point is
(x,y) = (3, 12)
mid point formula:-
Let [tex](x_{1}, y_{1}) and (x_{2}, y_{2})[/tex] be any two end points
Mid point of two given points are
[tex](\frac{x_{1}+ x_{2}}{2}, \frac{y_{1}+ y_{2}}{2} )[/tex]
let (x,y ) be the another end point
given one end point is (5,-6)
now by using mid-point formula , we get
[tex](\frac{x+5}{2} ,\frac{y-6}{2})[/tex] this is equating to given mid-point is M(4,3)
now [tex](\frac{x+5}{2}, \frac{y-6}{2}) = (4,3)[/tex]
simplify , we get
[tex]\frac{x+5}{2} = 4 and \frac{y-6}{2} = 3[/tex]
cross multiplication and simplify
x+5 = 8 and y-6 = 6
so x = 3 and y = 12
Hence the another point is (x,y) = (3,12)
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What's the slope??
Thank you!!! :)))
Answer:
The slope of this line is 4Step-by-step explanation:
The slope is determined with two points.
Take the pairs (0, - 9) and (1, - 5).
The slope is:
m = (y₂ - y₁) / (x₂ - x₁) = (- 5 - (-9)) / ( 1 - 0) = 4/1 = 4Answer:
Slope = 4
Step-by-step explanation:
Formula we use,
→ Slope = (y2 - y1)/(x2 - x1)
Then required slope will be,
→ (y2 - y1)/(x2 - x1)
→ (-5 -(-9))/(1 - 0)
→ (-5 + 9)/(1 - 0)
→ 4/1 = 4
Therefore, the slope is 4.
HELP MEEE I NEED THIS DONE NOW PLS
Answer:
A: $7.50 per cap
Step-by-step explanation:
IM BACCCCKKKKK XD
we use the slope formula of y2-y1/x2-x1
37.5-22.5/5-3
15/2
7.5
So he gets $7.50 per cap
Hopes this helps please mark brainliest
Answer: He gets $7.50 per cap.
Step-by-step explanation:
If at 3 caps he got $22.50, we'll need to divide $22.50 by 3 to get the cost for a single cap.
$22.50/3 = $7.50
This means that he gets $7.50 per cap.
1- Suppose Alice's actual height was 120.5 cm. If she shrank to 1/10 of her height, how small did she become?
2- Suppose Alice grew to 10 times her normal size. How tall did she become?
1. When Alice shrank, the height will be 12.05cm.
2. When she grew 10 times, the height will be 1205cm.
How to calculate the value?1. Since Alice's actual height was 120.5 cm and she shrank to 1/10 of her height, the height will be:
= 1/10 × 120.5
= 12.05 cm
2. If Alice grew to 10 times her normal size, the height will be:
= 120.5 × 10
= 1205cm
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