Logan is filling up his car with gas at the local station if gas cost 3.29$ per gallon and he fills up his tank with 12.6 gallons then how much will Logan be charged round your answer to the nearest penny
Answer:
$41.50
Step-by-step explanation:
$3.29 per gallon of gas
12.6 gallons of gas
12.6 * 3.29 = 41.45400 ≈ 41.50
he will be charged $41.50
Circles on a coordinate plane
Given: The center and radius of a circle
[tex]\begin{gathered} center=(h,k) \\ radius=r \end{gathered}[/tex]To Determine: The equation of the circle
1) Circle A centered at the origin with radius 6
The equation of a circle is given by the formula
[tex]\begin{gathered} (x-k)^2+(y-h)^2=r^2 \\ \text{center(origin)}=(0,0),r=6 \\ Equation=(x-0)^2+(y-0)^2=6^2_{} \\ =x^2+y^2=36 \end{gathered}[/tex]ence, the equation of circle A centered at the origin with radius 6 is
x²+y²=36
2)Circle D with center (3, 3) and radius 2
The equation would be
[tex]\begin{gathered} (x-3)^2+(y-3)^2=2^2 \\ =(x-3)^2+(y-3)^2=4 \end{gathered}[/tex]ence, the equation of a circle D with center (,3, 3) and radius 2 is
(x-3)² + (y-3)² = 4
The function T(y) gives the end-of-year tablet sales, in thousands, at an electronics store y years after 2010 for-1 ≤ y ≤ 8. The table below represents the values of the function T(y).
-10
1 2 3 4 5 6 7 8
T(y) 17 19 25 42 78 93 108 116 130 125
y
Which statement is true?
A No tablets were sold in 2009
B
C
D
The number of tablets sold increased each year
More people used a tablet sold by the store in 2017 than they did in 2018.
The maximum number of tablet sales the store made occurred 7 years after 2010
D
The correct statement regarding the function on the table is given by:
D. The maximum number of tablet sales the store made occurred 7 years after 2010
What is the meaning of the function?The meaning of the function is that it gives the number of tablets sold, in thousands, in y years after 2010, hence the variables are given by:
y: number of years after 2010.T(y): number of tablets sold on the respective year.For example, T(-1) = 0 = 17 means that 17,000 were sold in the year of 2009.
There was a single decrease, from 2017 to 2018, that is, year 7 to year 8, hence statement B is false.
For item C, we have no information whether this number is true, hence the statement is false, as the function gives the number of tablets sold at the store, not the number of people using the tablets.
The true statement is given by option D, since f(7) = 130 is the maximum value of the function.
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if m(x)=x-7 and n(x)= 1/x+7 find the function value if possible of (mxn)(7)
The function value if possible of (mxn)(7) is mathematically given as
(m.n)(7) =0
This is further explained below.
What is the function value if possible of (mxn)(7)?Generally, the equation for the is mathematically given as
m(x) &=x-7
Therefore
[tex]n(x) = \frac{1}{x}+7[/tex]
(m * n)(x) = m(x) * n(x)
[tex]=(x-7) \cdot\left(\frac{1}{x}+7\right)[/tex]
(m * n)(7) = (7-7) * n(1/7 + 1)
(m.n)(7) =0
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The x- and y- axes of the coordinate plane form four right angles. The interior of each of the right angles is a quadrant of the coordinate plane. What is the equation for the line that contains the angle bisector of Quadrants 1 and 3?
ANSWER:
y = x
XPLANATION:
To find the equation for the line that contains the angle bisector of Quadrants 1 and 3 we have:
The equation is:
y = x
Park a cover 4,926 square kilometers. It is 1,845 square kilometers larger than park b. Park c is 4,006 square kilometers larger than park a. What is the are of all three parks
Park a cover 4,926 square kilometers, It is 1,845 square kilometers larger than than park b. Park c is 4,006 square kilometers larger than park a, the area of all three parks is 16939 [tex]km^{2}[/tex]
What is an area?Area is amount of space occupied by a two-dimensional figure. In other words, it is quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of the area is square units which is generally represented as square inches, square feet, etc.
Word 'area' means a vacant surface. The area of shape is calculated with the help of its length and width. Length is the unidimensional and measured in units such as feet (ft), yards (yd), inches (in), etc. However, area of a shape is a two-dimensional quantity. Hence, it is measured in the square units like square inches or ([tex]in^{2}[/tex]), square feet or ([tex]ft^{2}[/tex]), square yard or ([tex]yd^{2}[/tex]), etc. Most of the objects or the shapes have edges and corners. The length and width of these edges are considered while calculating area of a specific shape.
Since,
Park a= 4926 [tex]km^{2}[/tex]
Park b= (4926-1845) = 3081 [tex]km^{2}[/tex]
Park c= (4006+4926) = 8932 [tex]km^{2}[/tex]
The area of all the three parks = (4926+3081+ 8932) [tex]km^{2}[/tex] = 16939 [tex]km^{2}[/tex]
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Solve for .
5x - 4 ≥ 12 OR 12x + 5 < -4
Answer:[tex]x\geq 3.2[/tex] and [tex]x < -0.75[/tex]
Step-by-step explanation
[tex]5x-4\geq 12[/tex]
First you would add 4 to each side.
[tex]5x\geq 16[/tex]
Then divide each side by 5.
[tex]x\geq 3.2[/tex]
Next one,
[tex]12x+5 < -4[/tex]
First you would subtract 5 from both sides.
[tex]12x < -9[/tex]
Then divide both sides by 12.
[tex]x < -0.75[/tex]
The hypotenuse of a triangle is 13 long. The leg is 7 inches longer than the shorter leg. Find the side lengths of the triangle.
Find the slope of the line that passes through ( 2 , 7 ) and ( – 4 , 19 ) .
Answer:
-2
Step-by-step explanation:
slope form: y2-y1/x2-x1
points: x1, y1 (2,7) and x2,y2 (-4,19)
substitute the points into the form: 19-7/-4-2
simplify: 12/-6 = -2
2x + 3y = 7
-2x + 5y = 9
PLEASE HELP ME PLS !!!!!!!!Connor has three number cards, as shown
below.
The minimum of the three cards is 6.
The range of the three cards is 7.
What is the mean of Connor's three cards?
Answer:
Mean of Connors 3 card is 9
Step-by-step explanation:
Solution
Minimum of 3cards is 6
range is 7
max -min=7
max=min+7
max=7+6
max=13
Mean=6+13+8/3=27/3=9
Answer:
Mean of Connors 3 card is 9
Step-by-step explanation:
Solution
Minimum of 3cards is 6
range is 7
max -min=7
max=min+7
max=7+6
max=13
Mean=6+13+8/3=27/3=9
A dairy farm has a real estate tax rate of $57.26 per thousand dollars of assessed value. If the farm is assessed at $665,500.00 what is the real estate tax?
Answer:
the real estate 5726per thousand dollars
Step-by-step explanation:
is (-2, -6) a solution of y less than 7x + 8
Answer:
Not a solution.
Step-by-step explanation:
[tex]y < 7x+8\\-6 < 7(-2)+8\\-6 < -14 + 8\\-6 < -6; False[/tex]
This is not true because -6 is not less than -6.
Answer: No.
Step-by-step explanation: First of all you need to know that (x,y) x goes in front of y because of alphabetical order. Second, plug in your points (-2,-6) into your equation y < 7(-2) + 8. After you solve, you will get y < -14+8. Then, you get y < -6. On your point it said that -6 is your y point. Plug in -6 into y and you get -6 < -6. So no, y is not less than 7x +8. Hope this helps!
I need help with this!! every time i use the formula i’m always one off
By using the secant line formula, the average rate of change of function f(x) on the interval [3, 11] is equal to 4.
How to determine the average rate of change of a function
In accordance with the statement, we must determine the average rate of change for a given closed interval of the function f(x). Graphically speaking, the average rate of change for this interval is represented by the slope of the secant line passing through the two limits of the interval [a, b], which is found by secant line formula:
m = [f(b) - f(a)] / (b - a)
If we know that a = 3, f(a) = 19, b = 11 and f(b) = 51, then the average rate of change is:
m = (51 - 19) / (11 - 3)
m = 32 / 8
m = 4
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Convert 5yd^2 to square centimeters
Since 1 yard = 0.914 meters
Since 1 m = 100 cm
Then 1 yard = 91.4 cm
Square them to find the square yard
[tex]\begin{gathered} (1)^2=1 \\ (91.4)^2=8353.96 \end{gathered}[/tex]1 square yard = 8353.96 square cm
Then to find 5 square yards in square cm, multiply 5 by 8353.96
[tex]5\times8353.96=41769.8[/tex]5 square yards = 41769.8 square cm
The measure of DF the center of the given circle
Solution:
Given the circle;
[tex]|OF|\cong|OE|=r[/tex]Thus;
[tex]\triangle FOE\text{ is isosceles triangle}[/tex]Then;
[tex]\begin{gathered} \angle OFE=38^o \\ \\ \angle Arc\text{ }DF=38^o+38^o..............(\text{ An exterior angle of a triangle is equal to the sum of the two interior opposite angles\rparen} \\ \\ \angle Arc\text{ }DF=76^o \end{gathered}[/tex]CORRECT OPTION: B
Find the probability of the following card hands from a 52-card deck. In poker,
aces are either high or low. A bridge hand is made up of 13 cards.
In poker, four of a kind (4 cards of the same value)
O 2.40 x 104
O 2.00 × 10-5
O 1.85 x 10-5
O4.34 x 10-4
Answer: 2.40 * 10^(-4)
This value is approximate.
=====================================================
Explanation:
A four of a kind is where we have 4 cards of the same value, as mentioned in the instructions. For example, we could have 4 queens and some other card, such as a 10 of clubs.
There are 13 cards to pick from for any given suit. Once that card is chosen, the other 3 slots are fixed to whatever that first card is. The fifth slot will have 52-4 = 48 choices.
In short we have 13 choices for the first four cards and 48 choices for the fifth card.
Overall we have 13*48 = 624 different four of kind poker hands.
Let's now calculate how many possible poker hands there can be.
A poker hand consists of 5 cards. I don't know why your teacher mentioned a bridge hand of 13 cards since that's for a different game.
We'll use n = 52 and r = 5 in the nCr combination formula below.
[tex]n C r = \frac{n!}{r!(n-r)!}\\\\52 C 5 = \frac{52!}{5!*(52-5)!}\\\\52 C 5 = \frac{52!}{5!*47!}\\\\52 C 5 = \frac{52*51*50*49*48*47!}{5!*47!}\\\\ 52 C 5 = \frac{52*51*50*49*48}{5!}\\\\ 52 C 5 = \frac{52*51*50*49*48}{5*4*3*2*1}\\\\ 52 C 5 = \frac{311875200}{120}\\\\ 52 C 5 = 2598960\\\\[/tex]
There are 2,598,960 possible five-card poker hands.
624 of those hands are four of a kind, so the probability we want is
624/(2,598,960) = 0.000240 = 2.40 * 10^(-4)
The approximate decimal value 0.000240 converts to 0.0240%
connect the term to the right word
Answer: Point: a zero dimentional object
Ray: a half line
One dimentional figure: a line
Line segment: a finite section of line
Plane: a 2 dimentional figure
Step-by-step explanation:
A triangle is congruent to triangle b what sequence would transform triangle a to triangle b
To transform congruent triangle a to triangle b: vertical reflection, then horizontal reflection and then 90° counter clockwise direction.
What are congruent triangles?Congruent triangles are two triangles that are the same size and shape. Two congruent triangles remain congruent even if we flip, turn, or rotate one of them.
Triangles a and b are congruent to each other. So when we flip them the sequence which would transform triangle a to triangle b is vertical reflection, then horizontal reflection and then 90° counter clockwise direction.
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АBсDIf AC = 22x - 19, find x. Round your answer to the nearest tenth ifnecessary.AB = 4x + 31BC = 29
Answer:
The value of x is equal to 4.4.
[tex]x=4.4[/tex]Explanation:
Given;
[tex]\begin{gathered} AC=22x-19 \\ AB=4x+31 \\ BC=29 \end{gathered}[/tex]The length AC is the sum of length AB and BC;
[tex]AC=AB+BC[/tex]substiuting the given values;
[tex]\begin{gathered} AC=AB+BC \\ 22x-19=4x+31+29 \\ 22x-19=4x+60 \end{gathered}[/tex]let's add 19 to both sides, and then subtract 4x from both sides;
[tex]\begin{gathered} 22x-19=4x+60 \\ 22x-19+19=4x+60+19 \\ 22x=4x+79 \\ 22x-4x=4x-4x+79 \\ 18x=79 \end{gathered}[/tex]divide both sides by 18;
[tex]\begin{gathered} \frac{18x}{18}=\frac{79}{18} \\ x=4.388888 \\ x=4.4 \end{gathered}[/tex]The value of x is equal to 4.4.
[tex]x=4.4[/tex]Find the derivative, ′, of = secx/e^x.Your final answer must be fully simplified
what is the answer to this please help 9/5 + 2 + 15/3
A design engineer is mapping out a new neighborhood with parallel streets. If one street passes through (4, 5) and (3, 2), what is the equation for a pa
passes through (2, -3)?
Oy = 3x + 11
Oy=3x-9
Oy=-3x+1
Oy=-x-3
The equation of the line parallel to the first line is y = 3 · x - 9.
(Correct option: B)
Given,
A design engineer is mapping out a new neighborhood with parallel streets. If one street passes through (4, 5) and (3, 2)
To find the equation for a passes through (2, -3).
How to determine an equation of the line parallel to another line
In this question we must derive the equation of the line for a given street and look for another equation of the line parallel to the previous one. Lines are first order polynomials of the form y = m · x + b, where m and b are the slope and the y-intercept, respectively.
Now, According to the question:
Now we present the procedure in detail. First, find the equation of the first line:
5 = 4 · m₁ + b₁ (1)
2 = 3 · m₁ + b₁ (2)
(m₁, b₁) = (3, - 7)
Second, determine the equation of the line parallel to the line found in the previous step: (Please notice that two lines are parallel to each other when they share the same slope but have different y-intercepts)
-3 = 3 · 2 + b₂
b₂ = -3 - 6
b₂ = - 9
Hence, The equation of the line parallel to the first line is y = 3 · x - 9.
(Correct option: B)
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10. Find the value of a²-b if a = 3 and b = -5.
FIND THE DOMAIN AND RANGE(Algebra 1)
The domain and range of the function are {-4, -2, 0, 4} and {-3, -1, 0, 1} respectively.
Domain and range of an equationThe domain of the function is defined as the value of the independent function for which the function exist.
The range of the function is defined as the value of the dependent function for which the function exist.
From the given table, the domain are the values in the x-column which the range in the y-column are the values in the y-axis.
From the table, the domain are D = {-4, -2, 0, 4} while the range is R = {-3, -1, 0, 1}.
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how to graph:-8x-y=8
In order to graph this equation, we first need to find two ordered pairs that are solution to this equation.
To do this, we can choose a value for x and calculate the corresponding value of y.
Choosing x = 0 and x = -1, we have:
[tex]\begin{gathered} x=0\colon \\ -8\cdot0-y=8 \\ 0-y=8 \\ y=-8 \\ \\ x=-1\colon \\ -8\cdot(-1)-y=8 \\ 8-y=8 \\ y=0 \end{gathered}[/tex]Now, graphing the points (0, -8) and (-1, 0) and the line that passes through them, we have:
So the blue line represents the graph of the equation given.
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The mean of 4,x,5,6,1 is 5 find x
Answer:
x=9
Step-by-step explanation:
is the mean of 4, x, 5, 6, and 1 is 5, then 4+x+5+6+1=5*5=25, so 16+x=25,x=9
Simplify (9-2/square root of 9)^-2 +(1-6)^2
The simplification of the number (9-2/square root of 9)⁻² +(1-6)² is found as 25.18.
What is defined as the simplification?Simplify simply signifies to make something easier to understand. Simply or simplification in mathematics refers to reducing an expression /fraction /problem to a simpler form. It simplifies the problem by calculating and solving it.
We can —
Simplify fractions by removing all common factors from the numerator and denominator and composing the fraction through its simplest form.By grouping as well as combining similar terms, you can simplify mathematical expressions. This makes this same expression simple to understand and solve.For the given question;
The expression is given as;
(9-2/square root of 9)⁻² +(1-6)²
This can be written as;
= [(9-2)/√9]⁻² + (1-6)²
Do the prime factorization of √9 = √3×3
= [(9-2)/√3×3]⁻² + (1-6)²
On solving;
= [7/3]⁻² + (-5)²
Taking the reciprocal of first term
= (3/7)² + (-5)²
= (0.42)² + (-5)²
Squaring the values;
= 0.18 + 25
= 25.18
Thus, the result after the simplification becomes 25.18.
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Which has a greater value?
√8 + 3 or 8 + √3
Answer:
8 + √3 is greater.
Step-by-step explanation:
8 + √3 equals 9.73
whereas
√8 + 3 equals 5.83