Answer: The new tire is 7/32 of an inch deeper, or twice as deep.
Step-by-step explanation: The answer can be found by subtracting the old tire length from the new tire length. We must first find a common denominator. To do that, we multiply both the top and bottom of 7/16 by two and get 14/32. Now we subtract 7/32 (old tire) from 14/32 (new tire) to get 7/32.
Find the distance between each pair of points.
X(-2,5), Y(1,11)
The distance between the pair of points X(-2,5) and Y(1,11) is [tex]\sqrt{45}[/tex] units.
We can find the distance between the points X and Y by using distance formula.
The distance formula is used to find the distance between two defined points on a graph (in the absence of a scale).
Here the two points are X(-2,5) and Y(1,11).
The distance formula for points (a,b) and (c,d) is given by :-[tex]\sqrt{(d-b)^2+(c-a)^2}[/tex]
Here,
(a,b) represents the point X(-2,5), and
(c,d) represents the point Y(1,11)
Putting the values of (a,b) and (c,d) in the distance formula, we get,
[tex]\sqrt{(11-5)^2+(1-(-2))^2}[/tex]
[tex]\sqrt{6^2+3^2} \\ \sqrt{36+9}\\ \sqrt{45}[/tex]
Hence, the distance is [tex]\sqrt{45}[/tex] units.
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True or false an equation in the form of ax+by=c a>0 where a and b are not both zero and a,b, and c are integers with a greatest common factor of 1 can represent either a linear or non linear function
The equation in the form ax+ by=c a>0 where a and b are not both zero and a, b, and c are integers with greatest common actor of 1 represent either linear or non linear function. Hence, this statement is true.
what is linear function and non linear function?The formula for a linear function is f(x) = mx + b, where m and b are real values. Isn't it resembling the slope-intercept form of a line, represented by the equation y = mx + b? Yes, this is the case as the graph of a linear function is a line.
Here,
• 'm' is the slope of the line.
• 'b' is the y-intercept of line.
• 'x' is the independent variable.
• 'y' is the dependent variable.
As the name suggests, a nonlinear function is one that is NOT linear. To put it another way, a nonlinear function's graph is not a line, which means that its graph can be anything other than a line.
Given that, ax+ by=c a>0 where a and b are not both zero and a, b, and c are integers with a greatest common factor of 1
ax+ by -c=0 [by transpose]
The general form of linear equation is ax+ by +c z +d=0
So, it is a binary first order equation of 'x' and 'y'.
Therefore, ax+ by=c a>0 where a and b are not both zero and a ,b, and c are integers with a greatest common factor of 1 can represent either a linear or non linear function.
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NEED THE ANSWER THANK YA
Answer:
A collection of different things
Step-by-step explanation:
I looked up the definition
Find the domain and range of the function represented by the graph (2 problems)
The domain of the function 13. is {-4≤x≥2} and the range of the function is {2≤x≥6} and The domain of the function 14. is {0.5≤x≥1.75} and the range of the function is {0.25≤x≥1.5}
The domain of the function means all the possible value that can be put in the function or the value of inputs
The range of the function means all the possible values that can be the result of various inputs or the value of output
On the graph the x coordinates represent the domain of the function that is possible inputs and y axis represent the range of the function that is all possible outcomes
The first problem (13.)
the highest point's coordinates can be reed as (-4, 6) and the coordinates of lowest point are (0,2) . There is one more significant point , the second endpoint, whose coordinates are (2,3)
So, The domain of the function is {-4≤x≥2} and the range of the function is {2≤x≥6}
The Second problem (14.)
the highest point's coordinates can be reed as (1.75, 1.5) and the coordinates of lowest point are (0.5, 0.25) .
So, The domain of the function is {0.5≤x≥1.75} and the range of the function is {0.25≤x≥1.5}
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Sketch the solid that results when the region enclosed by the given equations is revolved about the y -axis.
y = x²
y = 2 x
y = x² , y = 2 x are the region enclosed by the given equations is revolved about the y -axis.
What exactly is a closed area?
All space between a floor and ceiling that is enclosed on all sides by solid walls or windows, except doors that stretch from the floor to the ceiling, is referred to as an enclosed area.
What do you mean by the region that a closed curve encloses?
The sum of all infinitely thin rectangles with height f(x), enclosed by the curve y=f(x), and the x-axis between x=a and x=b, is what we mean when we write baf(x)dx.
Whether contained or not?
Use enclosed at all times. No longer regarded as a regular variety, enclosed would even be mistaken for another word by many readers. Use enclose, encloses, and enclosing rather than inclose for other words that are similar to enclosed.The graph is attached in equation y = x² , y = 2 x
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a. Generate the first ten terms of the Fibonacci sequence.
The first ten terms of the Fibonacci sequence are 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89 and so on.
What is Fibonacci sequence and what are the first ten terms?The Fibonacci numbers, sometimes known as Fn in mathematics, are a series of numbers. Each number in the Fibonacci sequence is composed of the sum of the two numbers before it. Typically, the sequence begins with 0 and 1.
means
0 + 1 = 1
1 + 1 = 2
1 + 2 = 3
2 + 3 = 5
3 + 5 = 8
5 + 8 = 13
8 + 13 = 21
13 + 21 = 34
21 + 34 = 55
34 + 55 = 89
Hence,the first ten terms of the Fibonacci sequence are 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89 and so on.
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[tex]\Large \boxed{\sf 0, 1, 1, 2, 3, 5, 8, 13, 21, 34}[/tex]
A series of integers known as the Fibonacci sequence begins with a zero, is followed by a one, another one, and then a series of increasing numbers. Each number in the series equals the sum of the two numbers before it. Every succeeding pair of Fibonacci numbers has a quotient resembling the golden ratio.
ax+ 5x = 10b; solve for x
Answer:
[tex](a + 5) \times = 10b \\ \times = \frac{10b}{a + 5} [/tex]
d. Find the geometric mean of the term from part (c) and the first term of your sequence. What term of the sequence have you just found?
The geometric mean can be determined by multiplying the terms from part c and the first term of the sequence from part a and taking their square root.
The first term of the sequence from part a is 2 and the term from part c is 512.
Geometric mean of a sequence is the average value of a set of numbers, determined by multiplying the terms together and taking their root.
In general form, the geometric mean for a n number of terms is n√x1*x2*x3*…*xn
Since there are two terms 2 and 512, we will take the square root of the product.
Geometric mean=√2*512=√1024=32
For the geometric sequence as it is the mean, the term will be the 2nd term of the sequence
Hence, the geometric mean of the two chosen positive number 2 and 512 is 32 which is the 2nd term.
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Write a slope-intercept equation for a line passing through the given point that is parallel to the given line. Then write a second
equation for a line passing through the given point that is perpendicular to the given line.
(-7, 0), y=-0.9x + 4.4
The equation of the line parallel and perpendicular are y = -0.9(x+7) and y = 10/9(x+7) respectively
Equation of a lineThe equation of a line in point slope form is expressed as;
y - y₁ =m(x-x₁) (Parallel)
y - y₁ =-1/m(x-x₁) (Perpendicular)
Given the following
Point = (-7, 0)
Slope = -0.9
Substitute
y -0 = -0.9(x-(-7))
y = -0.9(x+7)
Similarly for the perpendicular line
y -0 = -1/-0.9(x-(-7))
y = 10/9(x+7)
Hence the equation of the line parallel and perpendicular are y = -0.9(x+7) and y = 10/9(x+7) respectively
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2. Find the domain and range of the function shown in the graph. Write the domain and range
using interval notation.
O domain: [-3,2)(3,7]
range: [-6,-1) [1,5)
O domain: (-6,-1](1,5]
range: (-3,2][3,7)
O domain: (-3,2][3,7)
range: (-6,-1](1.5]
O domain: [-6,-1) [1,5)
range: [-3,2)(3.7]
By looking at the graph:
Domain: (-6, 1] U (1, 5]
Range: (-3, 2] U [3, 7)
How to find the domain and range of the graphed function?
The domain is the set of inputs (horizontal axis) and the range is the set of the outputs (vertical axis).
By looking at the horizontal axis we can see that the first part goes from x = -6 to x = -1, this interval is (-6, 1]
(at x = -6 there is a open circle, so x = -6 does not belong to the domain)
Similarly, the second interval is (1, 5]
Then the domain is D: (-6, 1] U (1, 5]
To get the range we do the same thing, but we need to look at the vertical axis. The first interval goes from y = -3 to y = 2 and then y = 3 to y = 7, the range is:
R: (-3, 2] U [3, 7)
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The sum of an infinite geometric series is twice its first term.
a. A student says the common ratio of the series is 3/2 . What is the student's error?
The student's error is that the common ratio would not be equal to 3/2.
What is Common Ratio:
The general form of representing a geometric progression is a1, (a1r), (a1r2), (a1r3), (a1r4) ,... where a1 is the first term of GP, a1r is the second term of GP, and r is the common ratio.
Common Ratio Formula:
Common ratio,
r =a n / a n−1
where,
an is the nth term of the geometric progression.
an−1 is the (n - 1)t h term of the geometric progression.
Now,
[tex]S_{infinity} = 2a_{1} \\\\= a_{1} / 1-r\\\\2a_{1} = a_{1} / 1-r\\\\= 1-r = 1/ 2\\\\r = 1/2 - 1\\\\r = 1/2[/tex]
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Write –0.67 as a fraction.
Answer:
- [tex]\frac{67}{100}[/tex]
Step-by-step explanation:
there's a negative sign so the our fraction will also have a negative sign
notice each number and its position. 0 is at the ones position. 6 is at the tenths position. 7 is at the hundredths position. 1, 10, 100, 100, etc.
The denominator of a fraction will be 100, because that is the last position of this decimal.
the numerator is just the number value itself.
in total it is
- [tex]\frac{67}{100}[/tex]
Answer:
[tex] - \frac{67}{100} [/tex]
is this what you asked for?
nancy wants to vacation in austin texas. Hotel A charges $179 per night with a 14% nightly room tax and free parking. Hotel B charges $169 per night with 18% nightly room tax plus a one time $40 parking fee. After how many nights will Hotel B be less expesnsive?
The number of nights will be 8.62 when the Hotel B charge is less than A.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that hotel, A charges $179 per night with a 14% nightly room tax and free parking. Hotel B charges $169 per night with 18% nightly room tax plus a one-time $40 parking fee. The number of the nights will be calculated as below:-
From the given data from the equations:-
A = 179 + ( 0.14 x 179 ) x
A = 204.06x
B = ( 169 + ( 0.18 x 169 )x + 40
B = 199.42x + 40
Equate the two equations:-
204.06x = 199.42x + 40
4.64x = 40
x = 40 / 4.64
x = 8.62 nights
Therefore, the number of nights will be 8.62 when the Hotel B charge is less than A.
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h(x)
=
x² + 3x
4x + 27
Find h(-8)
Step-by-step explanation:
it is -8 because negative times negative is positive
(-8)Match each expression to the correct point
Answer:
Step-by-step explanation:
f = -3/2
d = -[tex]\pi[/tex]
e = - [tex]\sqrt{8}[/tex]
Answer:
56892 that's it hope it helps
What is the measure of n?
6
3
n
18
n = [?]√
In the triangle, The measure of side n is √ 108
What is a Triangle ?It belongs to the basic geometric forms. A triangle having vertices A, B, and C is known as triangle ABC. Any three locations in Euclidean geometry that are not collinear result in a separate triangle and a distinct plane.
Identical sides have the same ratio since all of the triangles in the example are comparable.
Short side/long side:
n/6 = 18/n
n² = 6*18
n² = 108
n = √ 108
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Please help i'm stuck
Answer:
Decreases two times
Step-by-step explanation:
[tex].[/tex]
Please someone help I don’t understand
Answer:
15. False, m<1 and m<3 are not vertical
16. False, m<2 and m<4 are vertical, so they must be the same
17. True, they are supplementary
18. True, they are also supplementary
19. 90 - 35 = 55
20. m<7 = m<4, so it's 42 degrees
21. 126-90 = 36 degrees
22. 115-90 = 25, which gives us the angle of m<4, which is vertical to m<7, which means m<7 is also 25.
Brainliest answer please.
For each equation, find the center and radius of the circle.
(x-1)²+(y-1)²=1
The equation of the circle (x - 1)^2 + (y - 1)^2 = 1 has a radius of 1 and a center located at (1 , 1).
The standard form of the equation of circle is given by
(x - h)^2 + (y - k)^2 = r^2
where (h , k) is the location of the center and r is the radius of the circle.
On the other hand, the general form of the equation of circle is given by
x^2 + y^2 + Dx + Ey + F = 0
where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.
If the equation of the circle, (x - 1)^2 + (y - 1)^2 = 1, is in standard form, then
h = 1
k = 1
r = 1
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True or False
When naming or labeling a line, it matters which points you use.
Answer:
true
Step-by-step explanation:
when naming or labeling a line it matters which points you use
Use the box method to distribute and simplify (-5x+3)(x+6)
Answer:
-6x * 3
Explanations :
= - 5x + 3 * x + 6
= - 5x - x * 6 - 3
= - 6x * 3
Find the arithmetic mean a n of the given terms. a n₋₁ = 0.3, a n₊₁ = 1.9
The arithmetic mean a n of the given terms a n₋₁ = 0.3, a n₊₁ = 1.9 is
a n = 1.6.
What is direct variation?
a n₋₁ = 0.3, a n₊₁ = 1.9
a n = a [tex]n_{+1}[/tex] - a[tex]n_{-1}[/tex]
a n = 1.9 - 0.3
a n = 1.6
Direct variation is the change in one quantity as a result of the change in another. This suggests that if one quantity rises or falls, the other must rise or fall correspondingly as well.
The formula y = kx is used to answer direct variation questions. If finding the proportionality constant is necessary, the answer is obtained by dividing y by x.
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need help solving please
Answer: the answer is D
Both sides are equal to 5 radical 2
Step-by-step explanation:
State which are relations. Give their domain and range. Then tell if the relation is also a function. NUMBER 8
Answer:
Not a function; D: {2, 9}; R: {8, 4, 7}
How can you determine whether two variables x and y for a real-life situation are, correlated?
To determine if two variables, X and Y, are correlated, we can use the two simple ways. One is to create a scatter plot simply—a scatter plot plots X and Y pair values. A scatter plot shows a diagram of correlations. We can also identify if the correlation formed is positive, negative, or non-existent. Calculating the correlation coefficient R and determining its p-value associated with R is also possible.
Correlation coefficient values are always between -1 and 1.
Where
-1 indicates a perfect negative linear correlation between the two variables
0 shows a perfect positive linear correlation between the two variables
1 shows a perfect linear correlation between the two variables, indicates
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Write a flow proof.
Given: ∠A and ∠C are right angles.
∠A B E ≅ ∠C B D, AE ≅ CD
Prove: BE ≅ BD
BE ≅ BD under corresponding parts of the congruent triangles.
What do we mean by a triangle's congruency?If all three corresponding sides and angles of two triangles are the same size, they are said to be congruent.These triangles can be moved, rotated, flipped, and turned to appear identical.If they are moved, they will coincide.When two triangles satisfy the five congruence conditions, congruence exists.They are the side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), and right angle-hypotenuse-side (RHS).So,
Given:
∠A and ∠C are right angles.∠ABE ≅ ∠CBD, AE ≅ CDSo, we can say that △ABE ≅ △CBD is under AAS condition.
Then, we can conclude that BE and BD are identical. (Corresponding parts of the congruent triangles)So, BE ≅ BD.Therefore, BE ≅ BD under corresponding parts of the congruent triangles.
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Evaluate the infinite geometric series 2/5 +4/25 + 8/125 + . . . . Enter your answer as a fraction.
An infinite geometric series is the outcome of an unlimited geometric sequence.
The infinite geometric series be 2/5 +4/25 + 8/125 + . . . . then the sum of the infinite geometric series is 2/3.
What is an infinite geometric series?
An infinite geometric series is the outcome of an unlimited geometric sequence. This series wouldn't have a finish. It is possible to calculate the sum of all finite geometric series. The terms in the sequence will grow steadily larger, but adding the larger numbers together will not provide a solution if the common ratio of an infinite geometric series is greater than one.
Given:
a(first term) = 2/5
r(common difference) = 2/5
Since, |r| < 1 the infinite series converges.
[tex]S_\infty[/tex] = a/1-r ; -1 < r < 1
[tex]S_\infty[/tex] = (2/5)/(1-2/5)
simplifying the above equation, we get
[tex]S_\infty[/tex] = (2/5)/(3/5) = 2/3
The sum of the infinite geometric series is 2/3.
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Draw a scale model of your classroom using any scale.
Answer: a scale model is a representation or copy of an object that is larger or smaller than the object being represented, (sorry if this wasnt what you were asking)
Step-by-step explanation:
consider inequality 12 < -3(x+4). The solution set of this inequality is x =
The solution set of this inequality is x = -8
What is inequality ?
A mathematical statement indicating an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.inequality
12 < -3(x+4)
12 < -3x - 12
12 + 12 < - 3x
24 < -3x
- 8 < x
The solution set of this inequality is x = -8
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Where did the formula for summing finite geometric series come from? Suppose the geometric series has first term a₁ and constant ratio r , so that S n= a₁ + a₁r+ a₁ r²+ . . +a₁ rⁿ⁻¹
a. Show that r S n = a₁r+ a₁ r²+ a₁ r³+ . . . . +a₁rⁿ .
The total of a geometric series is an unlimited number of terms with a fixed ratio between them.
If S n= a₁ + a₁r+ a₁ r²+ . . +a₁ rⁿ⁻¹ then rSn = a₁r + a₁ r²+ . . +a₁ rⁿ⁻¹+a₁ rⁿ.
What is the formula for geometric series?
The sum of a geometric series Sn is given by:
[tex]$S_n=a(\frac{1-r^{n} }{1-r} )[/tex]
Given:
Sum of first n terms of the Geometric progression be
Sn = a₁ + a₁r + a₁ r² + . . + a₁ rⁿ⁻¹ ---(1)
On multiplying by r on both sides,
r Sn = a₁r + a₁ r² + . . + a₁ rⁿ⁻¹ + a₁ rⁿ ----(2)
So, (2) − (1) gives,
[tex]rS_n-S_n=ar^{n} -a[/tex]
[tex]S_n(r-1)=a(r^{n} -1)[/tex]
Therefore, the sum of n terms of a GP is:
[tex]$S_n=a(\frac{1-r^{n} }{1-r} )[/tex]
Let the expression be r S n = a₁r + a₁ r² + a₁ r³ + . . . . + a₁rⁿ
Sum of first n terms of the Geometric progression is:
Sn = a₁ + a₁r + a₁ r² + . . + a₁ rⁿ⁻¹
On multiplying by r on both sides, we get
rSn = a₁r + a₁ r²+ . . +a₁ rⁿ⁻¹+a₁ rⁿ
Therefore, rSn = a₁r + a₁ r²+ . . +a₁ rⁿ⁻¹+a₁ rⁿ
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