The amount that he owes will be $6610.54.
How to compute the value?From the information, the base rental price was $30.45 per day plus 15 3/4 cents per mile. Mark drove 415.85 miles.
Therefore the amount that will be paid will be:
= ($30.45 × 2) + (15.75 × 415.85 miles)
= $60.90 + $6549.64
= $6610.54
The cost is $6610.54.
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Suppose the tangent line to the curve
y = f(x)
at the point
(1, 1)
has the equation
y = 7 − 6x.
If Newton's method is used to locate a solution of the equation
f(x) = 0
and the initial approximation is x1 = 1, find the second approximation x2.
Answer:
x2 = 7/6
Step-by-step explanation:
You want the second approximation using Newton's method, given that the first approximation is x1=1 and the function tangent at x=1 is y=7-6x.
Newton's methodNewton's method approximates the function by its tangent line at the point (x, f(x)). That is, the second approximation is the x-intercept of the tangent line y = 7 -6x. That value of x is ...
0 = 7 -6x
6x = 7 . . . . . add 6x
x = 7/6 . . . . divide by 6
The second approximation is x2 = 7/6.
The length of a rectangle is nine more than triple the width. If the perimeter is 154 inches, find the dimensions.
Answer:
Length = 60 inches
Width = 17 inches
Step-by-step explanation:
Let width = w
Length = 3w + 9
Perimeter = 154
Perimeter = 2(length + width)
2(3w + 9 + w) = 154
8w + 18 = 154
8w = 154 - 18
8w = 136
w = 136/8
w = 17 inches
Length = 3w + 9 = 3(17) + 9 = 60 inches
List the domain and range of the relation.
{(5,-3), (2.2), (0, -3), (2.1) (5,3)}
The domain of the relation is x = {5, 2, 0, 2, 5} and the range is y = {-3, 2, -3, 1, 3}
The domain of a function is the set of inputs that are accepted by the function. The range, also known as the codomain, is the set of all the output values of the function.
Here, we are given a relation with the following set of solutions-
{(5,-3), (2,2), (0, -3), (2,1) (5,3)}
We know that all x values will form the domain and all the y values will make up the range.
Here the x values are: 5, 2, 0, 2, 5
and the y values are: -3, 2, -3, 1, 3
Thus, the domain of the relation is x = {5, 2, 0, 2, 5} and the range is y = {-3, 2, -3, 1, 3}
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Which of the following represents "the square of the sum of a number and 4 is 36"?
Ox²+42=36
(x+4)2 = 36
Ox²+4=36
Answer:
[tex](x + 4)^{2}[/tex] = 36
Step-by-step explanation:
So the "sum of a number and 4" is what gets squared and that together is equal to 36.
Can somebody help me if you know what this is
Answer:The LCM of 15 and 20 is 60.
Step-by-step explanation: I used the internet/gggle
Brianna and Aisha start a small business making handmade soaps to sell at fairs and local stores.
Brianna can make 50 bars of soap in 40 hours, and Aisha can make 50 bars of soap in 75 hours. How long will it take Aisha to make 50 bars of soap?
Answer: 75 hours
Step-by-step explanation:
"Aisha can make 50 bars of soap in 75 hours"
The division is one of the four fundamental arithmetic operations. The time it will take to make 50 soap bars if they both work together is 25.4543 hours.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that Brianna can make 50 bars of soap in 40 hours, and Aisha can make 50 bars of soap in 75 hours. Therefore, we can write,
Soaps Made Briana in an hour = 50 bars/40 hours
= 1.25 soap bars per hour
Soaps Made Aisha in an hour = 50 bars/75hours
= 0.7143 soap bars per hour
Now, together the number of soap bars they can make in an hour is,
Number of soap bars in an hour = 1.25 + 0.7143 soap bars per hour
= 1.9643 soap bars per hour
Further, the time it will take to make 50 soap bars if they both work together is,
Time is taken = Number of soaps/ Number of soaps in an hour
= 50 soap / 1.9643 soap bars per hour
= 25.4543 hours
Hence, the time it will take to make 50 soap bars if they both work together is 25.4543 hours.
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9888-1111+4444
...........
Answer:
the answer is 13,221 ...........
Answer:
13221...........
Step-by-step explanation:
9888-1111=8777
8777+4444=13221
If angle YXZ measures 90 degrees, which statement is true?
(answers are below)
segment XZ is perpendicular to segment WY
WX =XY
segment XZ is a perpendicular bisector of segment WY
X is the midpoint of segment WY
The statement that is true is: A. segment XZ is perpendicular to segment WY.
What is a Perpendicular Lines?When two lines intersect at a point to form right angles (90 degrees), both lines are said to be perpendicular to each other.
We are told that angle YXZ is equal to 90 degrees. This is the angle formed at the point where segment XZ intersects segment WY at point X.
This means that both lines are perpendicular to each other.
Therefore, the statement that is true is: A. segment XZ is perpendicular to segment WY.
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Rewrite, using the distributive
property.
4(2x + 5) = [?]x + [ ]
Step-by-step explanation:
8x+20 is the answer ......
will give brainliest if correct
The value of f(5) is 4375.
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given:
f(1)= 7,
f(n) = 5f(n-1)
f(2) = 5f(1)
=5*7
f(2)= 35
f(3) = 5f(3-1)
f(3) = 5f(2)
f(3) = 5*35
f(3) = 175
f(4) = 5f(4-1)
f(4) = 5f(3)
f(4) = 5*175
f(4) = 875
f(5) = 5f(5-1)
f(5) = 5f(4)
f(5) = 5*875
f(5) = 4375
Hence, the value of f(5) is 4375.
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I don’t understand this question
Answer:
This relation is not a function.
Step-by-step explanation:
Function
A relation is a function when each input (x-value) has a single output (y-value).
A function is one-to-one if each output (y-values) corresponds to exactly one input (x-values).
A function is many-to-one if some outputs (y-values) correspond to more than one (many) inputs (x-values).
In the given relation, one input value (x = 4) corresponds to two output values. Therefore, this relation is not a function.
(See attached Relation Arrow Diagram).
a rectangular room measures 17 feet by 6 feet. find the cost of installing a strip of wallpaper around the room if the wallpaper costs $0.94 foot.
Answer:
$95.88
Step-by-step explanation:
multiply 6 by 17 and get 102
multiply 102 by 0.94 and get 95.88
Which statement about AABC and ADEF is true?
Answer: D.
hope this helps
the length of a rectangle is three more than double the width. if the perimeter is 126 inches, find the dimensions.
The dimensions of the rectangle are 43inches and 20inches if the perimeter of the rectangle is 126 inches.
Leth the width of the revtangle be x.
According to the given question.
The perimeter of the rectangle is 126 inches.
The length of the rectangle is three more than double the width.
⇒ Length of the rectangle = 3 + 2x
Now, according to the given conditions we can say that
Perimeter of the rectangle = 2( length + width)
⇒ 126 = 2(3 + 2x + x)
⇒ 126 = 2(3 + 3x)
⇒ 63 = 3 + 3x
⇒ 63 - 3 = 3x
⇒ 60 = 3x
⇒ x = 20 inches
Therefore, the length of the rectangle = 3 + 2(20) = 3 + 40 = 43
Hence, the dimensions of the rectangle are 43inches and 20inches if the perimeter of the rectangle is 126 inches.
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Confused on Math
Solve the Systems
x+2y+2z=-2
2x-y-2z=-5
x+2y+4z=0
x=?
y=?
z=?
Answer:
Step-by-step explanation:
PLEASE HELP FAST I ONLY HAVE ONE HOUR!!!!!!
The interpretation of the y-intercept of the model is (d) when the attendance is 0, the number of wins is 15.2
How to interpret the y-intercept of the model?The equation of the linear regression model is given as
y = 4.9x + 15.2
The y-intercept of the model implies that
x = 0
Substitute x = 0 in the equation of the linear regression model given as
y = 4.9x + 15.2
So, we have
y = 4.9 x 0 + 15.2
Evaluate the product
So, we have
y = 0 + 15.2
Evaluate the sum
So, we have
y = 15.2
Hence, the interpretation of the y-intercept of the model is (d) when the attendance is 0, the number of wins is 15.2
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it is math for evaluating functions please help
The domain of the given function is; (0, 2)
The range of the given function is; (-2, 6)
What is the range and domain of the given function?We want to evaluate the function f(x) = 4x - 2 for x = 0, 1 and 2.
Step 1;
f(0) = 4(0) - 2
f(1) = 4(1) - 2
f(2) = 4(2) - 2
Step 2;
f(0) = 0 - 2 = -2
f(1) = 4 - 2 = 2
f(2) = 8 - 2 = 6
The domain is the set of all possible input values which is (0, 2)
The range is the set of all possible output values which is (-2, 6)
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The blueprint specifications for a machined part call for its thickness to be 3.145 in.
with a tolerance of +-0.010 in. Find the limit dimensions of the part?
The limit dimensions of the part are 3.135 inches and 3.155 inches
How to find the limit dimensions of the part?The given parameters are
Thickness = 3.145 inches
Tolerance = 0.010 inches
The limit dimensions of the part are calculated as
Limit = Thickness +/- Tolerance
So, we have
Limit = 3.145 inches +/- 0.010 inches
Expand the above expression
So, we have
Limit = (3.145 inches - 0.010 inches, 3.145 inches + 0.010 inches)
Evaluate the sum
Limit = (3.135 inches, 3.155 inches)
Hence, the limit dimensions of the part are 3.135 inches and 3.155 inches
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A can of soda takes an average (mean) of 26 minutes to move through an assembly line. If the standard deviation is 2 minutes and the distribution is normal, what is the probability that the can will take over 29 minutes?
The probability that a can will take more than 29 minutes is approximately 0.66807
How can the probability of an event be determined in a normal distribution?The mean time taken by the soda to move through the assembly line = 26 minutes
The standard deviation of the time it takes = 2 minutes
Required: The probability that the can takes more than 29 minutes
Solution: The Z-Score formula is presented as follows;
[tex]Z = \frac{x - \mu}{ \sigma} [/tex]
The Z-Score of a can that takes 29 minutes is given as follows;
[tex]Z = \frac{29 - 6}{ 2} = 1.5[/tex]
Which gives;
Z = 1.5
The probability P(x < Z) obtained online or from the Z-Score table gives;
P(x < 1.5) ≈ 0.93319Which gives;
The probability that the can will take more than 29 minutes P(x > Z) ≈ 1 - 0.93319 = 0.66807
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Which expression shows another way to write -2/5 divided by 3/2?
The expression that shows another way to write -2/5 divided by 3/2 will be -2/5 ÷ 3/2.
How to calculate the value?It should be noted that an expression simply shows the relationship between the variables.
Therefore, the expression that shows another way to write -2/5 divided by 3/2 will be:
= -2/5 ÷ 3/2
= -2/5 × 2/3
= -4/15.
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25 25
4
2º
A
=
25.
=
C=
Answer:
a = 2
b = 3
c= 8
Step-by-step explanation:
a) 4 = [tex]2^{2}[/tex] We want to have all of the bases the same in the powers, so we will convert 4 to a base of 2.
b) When we divide with powers with the same baes, we subtract the exponents. (5-2 =3)
c) [tex]2^{3}[/tex] means 2x2x2 or 8
The sum of three times a number and nine is 12 
Answer:
1
Step-by-step explanation:
let the number be n
3n + 9 = 12
3n = 12 - 9 = 3
n= 3/3
n= 1
Given [tex]$\triangle RST \cong \triangle XYZ$[/tex]. Points [tex]$P$[/tex] and [tex]$W$[/tex] lie on [tex]$ST$[/tex] and [tex]$YZ$[/tex], respectively. Which of the following statements are true?
A) If [tex]$P$[/tex] is the midpoint of [tex]$\overline {ST}$[/tex] and [tex]$W$[/tex] is the midpoint of [tex]$\overline {YZ},$[/tex] then [tex]$\triangle RSP\cong \triangle XYW$[/tex].
B) If [tex]$\overline {RP}$[/tex] bisects [tex]$\angle SRT$ and [tex]$\overline {XW}$[/tex] bisects [tex]$\angle YXZ$[/tex], then [tex]$\triangle RSP\cong \triangle XYW$[/tex].
C) If [tex]$RP=XW$[/tex], then [tex]$\triangle RSP\cong \triangle XYW$[/tex].
D) If [tex]$\overline {RP}\perp\overline {ST}$[/tex] and [tex]$\overline {XW}\perp\overline{YZ}$[/tex], then [tex]$\triangle RSP\cong \triangle XYW$[/tex].
The triangles ΔRST and ΔXYZ are congruent, then all the same construction make triangles congruent. All the options are correct.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If two triangles are congruent, then the ratio of the corresponding sides will be one.
The triangles ΔRST ≅ ΔXYZ. Points P and W lie on ST and YZ, respectively.
The diagram is given below.
A) If P is the midpoint of ST and W is the midpoint of YZ then ΔRSP ≅ ΔXYW is true.
B) If RP bisects ∠SRT and XW bisects ∠YXZ, then ΔRSP ≅ ΔXYW is true.
C) If RP = XW, then ΔRSP ≅ ΔXYW is true.
D) If RP ⊥ ST and XW ⊥ YZ, then ΔRSP ≅ ΔXYW is true.
All the options are correct.
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Dave and Sandy Hartranft are frequent flyers with a particular . They often from City A to City a of 840 On particular tripthey wirdand the flight takes 2 hoursThe return trip, with the wind behind them, only takes 1 1/2 * t hoursthe wind speed is the same on tripthe wind and find the speed of the plane in still air The wind speed ismph The speed of the plane ismph
It should be noted that the wind speed is 70km per hour and the plane speed is 490km per hour.
How to illustrate the information?Based on the information given, the following an be illustrated.
Let P = speed of plane
Let w = speed of wind
The appropriate equation will be:
(P + W) (3/2) = 840 ....... i
(P - W) × 2 = (840 / 2) ...... ii
P + W = 560 .....i
P - W = 420 ......ii
Subtract the equations
2P = 980
P = 980 / 2 = 490
P + W = 560
490 + W = 560
W = 560 - 490
W = 70
Therefore, the wind speed is 70km per hour and the plane speed is 490km per hour.
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The population of a town increased from 3,250 in 2008 to 4,300 in 2010. Find the
absolute and relative (percent) increase.
The absolute change in the town's population from 2008 to 2010 is 1,050 and the percentage change is 32.3%.
Here, we are given that the population of a town increased from 3,250 in 2008 to 4,300 in 2010.
The absolute change can be calculate as-
Final population count - initial population count
= 4,300 - 3,250
= 1,050
Thus, absolute increase = 1,050
Now, the percentage increase can be calculated as follows-
percentage change = absolute change in population/ initial population count × 100
= 1,050/ 3,250 × 100
= 10500/ 325
= 32.3%
Thus, the absolute change in the town's population from 2008 to 2010 is 1,050 and the percentage change is 32.3%.
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What is the domain of the function y = 3 l n x graphed below?
On a coordinate plane, a curve starts in quadrant 4 and then increases up into quadrant 1. It crosses the x-axis at (1, 0).
The domain of the function y = 3 ln x is (0, ∞) .
In mathematics, the logarithmic function is the inverse of power.The domain of a function is the set of inputs or x-values on which the function is defined.The graph of the function y = 3ln x is given below .
Then , coordinate point (1, 0)
The logarithmic function y = log x has the domain x > 0 (or) (0, ∞).
This is a logarithmic function. An important property of logarithms is that the domain cannot be denied. The same is true for x=0, since the logarithm of negative numbers is undefined.
The image attached shows the graph of this function, there you can notice its domain restriction.
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name the relationship, corresponding laternate interior alternate exterior same side interior vertical linear
Answer:
see explanation
Step-by-step explanation:
the relationship between angles a and b
they are alternate interior angles
these angle pairs are on opposite ( alternate) sides of the transversal and are in between ( in the interior of )the parallel lines.
Find the lengths of UV and ST and determine whether they are congruent.
Hint: Congruent line segments have the same length.
The length of both UV and ST is [tex]3\sqrt{2}[/tex] and hence they both are congruent.
Here, we are given two lines- UV and ST.
We can find the length of the lines using distance formula. According to distance formula, distance between two points- (x1, y1) and (x2, y2) is given as-
[tex]\sqrt{(x2-x1)^{2} + (y2 - y1)^{2} }[/tex]
Here, for UV,
the two endpoints are- (1,0) and (4,3)
thus, the length of UV will be-
[tex]\sqrt{(4-1)^{2} + (3 - 0)^{2} }[/tex]
= [tex]\sqrt{(3)^{2} + (3 )^{2} }[/tex]
= [tex]\sqrt{9 + 9 }[/tex]
= [tex]\sqrt{18}[/tex]
= [tex]3\sqrt{2}[/tex]
Similarly, the two endpoints of ST are- (-2,-1) and (1,-4)
thus, the length of UV will be-
[tex]\sqrt{(1+2)^{2} + (-4 +1)^{2} }[/tex]
= [tex]\sqrt{(3)^{2} + (-3)^{2} }[/tex]
= [tex]\sqrt{9 + 9 }[/tex]
= [tex]\sqrt{18}[/tex]
= [tex]3\sqrt{2}[/tex]
So we can see that UV = ST = [tex]3\sqrt{2}[/tex], which means that both of them are congruent. Hence, option 1 is the correct answer.
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Your question was incomplete. Check for the missing figure below.
HELLP
Find the coordinates of the point 3/10 of the way from A to B
The coordinates of the point
3/10 of the way from A to B are
Step-by-step explanation:
this is similar to the complete approach to find the midpoint. just instead of 1/2 we are looking for 3/10 of the distance.
the general approach is
A + (B - A)×factor
factor can be 1/2 or 3/10 or 7/10 or 24/29 or ...
so, we have
(-3, -6) + ((9 - -3)×3/10, (5 - -6)×3/10) =
= (-3, -6) + (12×3/10, 11×3/10) =
= (-3, -6) + (3.6, 3.3) = (0.6, -2.7)
the point 3/10 of the way from A to B is
(0.6, -2.7)
-5•g(4)-1 If g(x)=1-3/4x
The value of -5*g(4)-1 is 9.
It is a question of functions.
Here, g is a function of x.
Function
A function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.
Let X and Y be any two non-empty sets; mapping from X to Y will be a function only when every element in set X has one end, only one image in set Y.
Given that:-
g(x) = 1 - (3/4)x
We have to find the value of -5*g(4)-1
First we will find g(4),
g(4) = 1 - (3/4)*(4) = 1 - 3 = -2
-5*g(4) - 1 = -5*(-2) - 1 = 10 - 1 = 9
Hence, the value of -5*g(4) - 1 is 9.
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