Answer:
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A car purchased for $15,000 depreciates under a straight-line method in the
amount of $950 each year. Which equation below best models this
depreciation?
A. y = 15000x-950
OB. y = 15000 +950x
OC. y = 15000-950x
OD. y = 15000x+950
Answer:
i can't send full page of it sorry
The equation y = 15000 - 950x best models the depreciation.
Option C is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The equation y = 15000 - 950x.
Here, y represents the value of the car after x years.
The initial value of the car is $15,000, which means the value of the car at x = 0 is $15,000.
The car depreciates by $950 each year, so after one year, the value of the car will be $15,000 - $950 = $14,050.
After two years, the value of the car will be $14,050 - $950 = $13,100, and so on.
This linear relationship between the value of the car and the number of years can be modeled by the equation y = 15000 - 950x,
where 15000 is the initial value and -950x represents the amount of depreciation each year.
Thus,
The equation y = 15000 - 950x best models the depreciation.
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Solve the system of equations
−5x−3y=−28 and x+2y=0 by combining the equations
Answer: (8, -4)
Step-by-step explanation:
-5x - 3y = -28
x + 2y = 0
1. Multiply both sides of the bottom system by 5 to cancel the x out
5(x+2y=0)
5x + 10y = 0
2. rewrite
-5x - 3y = -28
5x + 10y = 0
3. add
0x + 7y = -28
4. divide by 7
7y = -28
5. y = -4
6. plug in -4 for y in one of the original equations
x + 2(-4) = 0
7. simplify
x = 8
9. solution is
(8, -4)
The measure of an exterior angle of a regular polygon is 45º. How many sides does the polygon have?
Answer:The answer is 8 sides
Step-by-step explanation:
select all possible answers below - see picture for question & model
Translate by directed line segment AD
Rotate 180 degrees around point C, translate by directed line segment CE
and reflect across segment EF.
Rotate 180 degrees around point E
Translate by directed line segment AE and reflect across AC
Translate by directed line segment CE and rotate 90 degrees counterclockwise
around point E
Reflect across segment AB, rotate clockwise by angle BFE using center F
then reflect across segment. EF
The sequence of Transformation that could take figure 1 to figure 2 is; Translate by direct Line segment AD.
How to carry out transformations?
In the given graph, we can notice that figure 1 is exactly the same as figure two just that they are at different coordinates.
Now, to map figure 1 to figure two, what needs to be done is called translation. This is because In translation transformation, all the points in the object are moved in a straight line in the same direction.
Thus, the correct answer will be to translate by directed line segment AD.
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6 x (3+2) divided by 10
a puppy weighs 1 pound. what does the puppy weigh after 4 weeks
find 3 solutions for y=-2x-4
13 × (11 + 11) - (4 × 17) - 6 = X
Answer: 212
Step-by-step explanation:
13 * 22 - 68 - 6 = X
286 - 68 - 6 = X
286 - 74 = X
X = 212
Fill in the blank.
5 × 5/2 = __ x 1/6
Answer:
25
Step-by-step explanation:
When multiplying a whole number by a fraction, the first step is to multiply the whole number by the numerator. Then, you divide by the denominator. For example, on the left side, 5 x 5 = 25. You are left with 25/6. Finally, when you divide by 6, you are left with 4.166.....
If the denominator is the same (6) on both sides, to get the same answer, you somehow need to get the numerator (25) the same. So, what whole number can be multiplied by 1 to get 25? This number is 25. Therefore, the missing number is 25. This answer is correct because 25 x 1 = 25. You would be left with 25/6 and get a final answer of 4.166....
The linear equation y = 25x describes how far from home Gary is as he drives from Montreal to Miami. Let x represent the number of hours and y represent the number of miles. How far from home is Gary in 12 hours? Graph the equation and tell whether it is linear.The linear equation y = 25x describes how far from home Gary is as he drives from Montreal to Miami. Let × represent the number of hours and y represent the number of miles. How far from home is Gary in 12 hours? Graph the equation and tell whether it is linear.
The distance that Greg is from home after 12 hours is given as follows:
300 miles.
How to calculate the numeric value of a function or of an expression?To calculate the numeric value of a function or of an expression, we substitute each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.
The function for this problem is given as follows:
y = 25x.
Hence the distance after 12 hours is given as follows:
y = 25 x 12
y = 300 miles.
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Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle?
82°
92°
102°
112°
Answer:
102 deg
Step-by-step explanation:
The sum of the interior angles of a n-gon
are equal to ( n-2)*180
for a pentagon ( 5-2)(180) = 540
88+118+132+100 + x = 540 x= 102 deg
Answer:
C. 102 is correct
Step-by-step explanation:
just took test
Can someone solve this eq (integration)
I did it but the answer I got is different to what my textbook says
Answer:
I hope you can help
Select the best definition of repeating decimal.
A. any number that does not repeat, or terminate, that can not be written as a fraction.
B. a decimal that has a recurring sequence of numbers that follow a pattern
C. any number that can be written as a fraction, repeating or terminating decimal
D. a decimal which has digits that do not go on forever.
The correct option that defines repeating decimals correctly is Option B;
a decimal that has a recurring sequence of numbers that follow a pattern.
What is a Repeating Decimal?A repeating decimal is also called a recurring decimal and it is a decimal representation of a number whose digits are periodic and the infinitely repeated portion is not zero.
From the above definition, it means that the correct option that defines repeating decimals correctly is Option B.
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Eleanor is working her way through school. She works two part-time jobs for a total of 24 hours a week. Job A pays $5.80 per hour, and Job B pays
$7.40 per hour. How many hours did she work at each job the week that she made $158.40.
Step-by-step explanation:
a = hours at job A
b = hours at job B
a + b = 24
a = 24 - b
5.8a + 7.4b = 158.4
note we can use the a = 24 - b identity in the second equation :
5.8×(24 - b) + 7.4b = 158.4
139.2 - 5.8b + 7.4b = 158.4
1.6b = 19.2
b = 12 hours
a = 24 - b = 24 - 12 = 12 hours
she worked 12 hours on job A and 12 hours on job B.
A bicycle company is designing women's bicycle frames The frames can accommodate any woman taller than 54.5 inches. Given that the heights of adult American women are normally distributed, with a mean of 65 inches and a standard deviation of 3.5 inches, what percentage of American women CANNOT use the bicycles designed by this company?
Using the normal distribution, it is found that 0.13% of American women CANNOT use the bicycles designed by this company.
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.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 65, \sigma = 3.5[/tex]
The proportion of women that cannot use the bikes(smaller than 54.5 inches) is the p-value of Z when X = 54.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{54.5 - 65}{3.5}[/tex]
Z = -3
Z = -3 has a p-value of 0.0013.
0.0013 = 0.13% of American women CANNOT use the bicycles designed by this company.
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Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to determine the value of c so that the
following is true.
P(-C≤Z≤c)=0.9715
Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places.
Using the normal distribution, considering it's symmetry, it is found that the value of C is of 2.19.
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.The standard normal distribution has mean and standard deviation given, respectively, by:
[tex]\mu = 0, \sigma = 1[/tex].
Hence, considering the symmetry of the normal distribution, the value of c is Z with a p-value of (1 + 0.9715)/2 = 0.98575, hence c = Z = 2.19.
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HELP WITH THE RIGHT ANSWER FOR BRAINLIEST!!!
Answer: this is the wrong answer
Step-by-step explanation:
the graph of y = cos(x) was shifted downwards by 3 units, shrink horizontally by a fourth of a unit, inverted horizontally and shifted 60° to the left. if it has an amplitude of 5 units, write the equation of the resulting graph.
Using translation concepts, it is found that the equation of the resulting graph is given by:
[tex]y = 2.5(\cos{(4x - 60^\circ)} - 3)[/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.
The parent function is given by:
[tex]y = \cos{x}[/tex]
The transformations are as follows:
Shift down of 3 units, hence [tex]y = \cos{x} - 3[/tex].Shrink horizontally by a fourth of a unit, hence [tex]y = \cos{(4x)} - 3[/tex].Inverted horizontally, hence [tex]y = \cos{-4x} - 3 = \cos{(4x)} - 3[/tex], as the cosine function is even.Shifted 60° to the left, hence [tex]y = \cos{(4x - 60^\circ)} - 3[/tex]Amplitude of 5 units, hence the function is multiplied by 5/2 = 2.5, that is, [tex]y = 2.5(\cos{(4x - 60^\circ)} - 3)[/tex].More can be learned about translation concepts at https://brainly.com/question/4521517
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Cheng likes a modern lawn sculpture made of four identical solid right pyramids with square bases. He decides to create an exact copy of the sculpture, so he needs to know what volume of sculpting material to purchase.
2 identical solid right pyramids with square bases are connected at the square base. Another 2 are connected in the same way and are stacked on top of the other 2 pyramids. The length of the base edge is 2 feet and the height of the whole structure is 6 feet.
He measures each edge of each base to be 2 feet. The height of the whole sculpture is 6 feet.
Volume is a three-dimensional scalar quantity. The amount of sculpting material needed is 8 ft³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Since the pyramid is stacked one over the other, the total height of the sculpture is the sum of the four pyramid heights, therefore, the height of each pyramid is 1.5 ft.
The volume of the complete sculpture = 4(Volume of a single pyramid)
= 4[(1/3) × (2 ft)² × 1.5 ft]
= 4(2 ft³)
= 8 ft³
Hence, the amount of sculpting material needed is 8 ft³.
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Answer:
8ft.^3
Step-by-step explanation:
I just took the test on edge :)
Simplify the following
(3a 2b ×2a 6b)
Answer:
3a 2b ×2a 6b = 72a²b² = 72× (ab)²Step-by-step explanation:
3a 2b ×2a 6b = (3 × 2)×(a × b) × (2 × 6)×(a × b) [commutative property]
= (6×ab) × (12×ab) [associative property]
= (6×12) × (ab×ab) [commutative + associative]
= (72) × (ab)²
= 72× (ab)²
= 72a²b² [exponent property]
Suppose the scores of seven members of a women’s golf team are 68, 62, 60, 64, 70, 66, and 72. Find the mean, median, and midrange.
a.
Mean = 64, median = 64, midrange = 64
b.
Mean = 65, median = 64, midrange = 66
c.
Mean = 66, median = 77, midrange = 65
d.
Mean = 66, median = 66, midrange = 66
Please select the best answer from the choices provided
A
B
C
D
The mean, median, and midrange of the given that are 66, 66 and 66 respectively.
Option D) Mean = 66, median = 66, midrange = 66 is the correct answer.
What is the mean, median, and midrange?Mean is the sum total of the number divided by number of terms
Median is the middle number when arranged in ascending or descending order.
Midrange is the average of the sum of the maximum number and the minimum number.
Given that;
Data set: 68, 62, 60, 64, 70, 66, and 72n = 7First, we arrange in ascending order.
60, 62. 64, 66, 68, 70, 72
Mean = ( 60 + 62 + 64 + 66 + 68 + 70 + 72 ) / 7
Mean = 462 / 7
Mean = 66
Median = 66
66 is the middle number.
Range = ( Max + Min ) / 2
Range = ( 72 + 60 ) / 2
Range = 132 / 2
Range = 66
Therefore, the mean, median, and midrange of the given that are 66, 66 and 66 respectively.
Option D) Mean = 66, median = 66, midrange = 66 is the correct answer.
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i need helpppp with this question
PLEASE HELP "What is the value of x in the triangle" (15 Points)
Answer:
The answer is B.) 3
Step-by-step explanation:
Answer:
jesse got right
Step-by-step explanation:
branliest.
tess saids this shape is a rhombus. Jack says the shape is a square. Who is correct?
Tess and Jack are both correct with their claims
How to determine who is correct?The attached image completes the question
From the complete question, we have the following highlights
The shape has equal side lengthsThe angles at the vertices of the shape are right anglesThe above properties represent a square
A rhombus can also have the above properties when the vertices are at 90 degrees
Hence, Tess and Jack are both correct with their claims
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Question 4 of 10
If ƒ(x) = 3(x+5) +−, what is f(a+2)?
[tex]f(x) = 3(x+5)\\\\f(a+2) = 3(a+2 +5) \\\\~~~~~~~~~~~~=3(a+7)\\\\~~~~~~~~~~~~=3a+21[/tex]
MEAN, MEDIAN AND MODE OF GROUPED DATA
See the attached files!!!!
how to find the length of sides using pythagorean theorem
Answer:
Pythagorean theorem is mainly used for finding the length of the third side of a right angled triangle if the lengths of other two sides are known.
For this, it is more useful if the theorem is stated in terms of the length of the sides of the triangle.
Consider a right angled triangle with sides of lengths p,b and h, where p,b and h are the lengths of perpendicular,base and hypotenuse respectively.
Draw squares on each of these sides.These squares have areas p²,b² and h².
For any right angled triangle with sides of length p,b and h;
[tex] \: \: \: \: \: \: \: {h}^{2} = {p}^{2} + {b}^{2} ....................(i)[/tex]
[tex] \therefore \: h = \sqrt{ {p}^{2} + {b}^{2} } [/tex]
From (i); p²=h²-b²
[tex] \therefore \: p = \sqrt{ {h}^{2} - {b}^{2} } [/tex]
Similarly,
[tex]b = \sqrt{ {h}^{2} - {p}^{2} } [/tex]
Step-by-step explanation:
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39. What is the value of x?
Answer:
x = 15
Step-by-step explanation:
the sum of the exterior angles of a polygon = 360°
sum the 5 exterior angles and equate to 360
5x + 3 + 4x + 8 + 5x + 5 + 6x - 1 + 3x = 360 , that is
23x + 15 = 360 ( subtract 15 from both sides )
23x = 345 ( divide both sides by 23 )
x = 15
(07.03 MC)
Victoria used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the tables below:
Color of
Marble Number of
Times Rolled
Blue
18
Green
20
Yellow
12
Heads Tails
20 30
Using Victoria's simulation, what is the probability of pulling a blue marble and the coin landing tails up?
48 over 50
38 over 50
540 over 2500
360 over 2500
The probability of pulling a blue marble and the coin landing tails up is 360/2500
How to determine the probability?The tables of values are given as:
Color Times
Blue 18
Green 20
Yellow 12
Heads Tails
20 30
The probability of obtaining a blue marble is:
P(Blue) = 18/50
The probability of landing tails up is:
P(Tail) = 20/50
The required probability is:
P = P(Blue) * P(Tail)
This gives
P = 18/50 * 20/50
Evaluate the product
P = 360/2500
Hence, the probability of pulling a blue marble and the coin landing tails up is 360/2500
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Question 8
Select the solution to the following system of equations:
3x+2y=0
-x-y=1
Answer:
-x-y=1
-x= 1+y
x= -1-y
3x+2y=0
3(-1-y) +2y=0
-3-3y+2y=0
-3-y=0
y= -3
x= -1-(-3)
x= -1+3
x= 2
Therefore, x= 2 and y= -3