Answer:
x = 13
Step-by-step explanation:
SOMEONE PRETTY PLEASE HELP MEE
The value of x in the angles is 14.
How to find angles when parallel lines are cut by transversal?When parallel lines are cut by a transversal, angle relationships are formed.
The angle relationships that are formed includes corresponding angles, alternate angles, vertical angle etc.
Therefore, the value of x can be found as follows;
m∠1 = m∠7 (vertical angles)
Therefore,
m∠7 = m∠15(corresponding angles)
Hence,
m∠1 = m∠15
m∠1 = 8x - 4
m∠15 = 6x + 24
Therefore,
8x - 4 = 6x + 24
8x - 6x = 24 + 4
2x = 28
divide both sides by 2
x = 28 / 2
x = 14
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can someone help me pls !!!!!!!
lyft charges 1.50 for the initial fee and 0.88 per mile traveled for an lyftX write and solve an inequality to determine how many miles jazlyn can travel if she has 25$ to spend. round your answer to the nearest hundreth.
suppose you invested $20,000 and it grew by 15% every year for 20 years. how much would this investment be worth after 20 years?
1. $300,000
2. $308,140.43
3. $6.65 x 10^27
4. $327,330.74
If you can explain how you got your answer please, thank you!!
You are given that f(x)=x²+4 and g(x)=3 x-1 .
a. What are the domain and range of f(x) and g(x) ?
The domain of f ( x ) = R , its range = y ≥ 4 and the domain of g ( x ) = R and its range = R as well .
Domain : The set of all the possible values of x is called domain of the function .
Range : The set of all the possible values of y is called the range of the function .
Given : f ( x ) = [tex]x^{2}[/tex] + 4 , g ( x ) = 3 x - 1 .
To find : Domain and Range of functions .
f ( x ) = [tex]x^{2}[/tex] + 4
Domain = R ( real nos. )
Range = y ≥ 4 .
g ( x ) = 3 x - 1
Domain = R ( real nos. )
Range = R ( real nos. )
Therefore , the domain of f ( x ) = R , its range = y ≥ 4 and the domain of g ( x ) = R and its range = R as well .
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What is the measure of line AD
If x^2 + x = 1
what is (x^5 + 8)/ x+1
The value given expression of (x⁵ + 8)/(x + 1) is (x⁶ + 8x).
What is termed as indices/index?In mathematics, an index (indices) is the power but rather exponent raised to the a number or variable. In number 2⁴, for example, 4 is the index of 2. Indexes is the plural form of index. We encounter constants and variables in algebra. A constant is just a value that cannot be altered. A variable quantity, on the other hand, can be assigned such a number or have its value changed.The given expression is-
(x⁵ + 8)/(x + 1) .......equation 1
It is stated that;
x² + x = 1
Taking x common;
x(x + 1) = 1
Bring x on the other side.
(x + 1) = 1/x
Put the value of (x + 1) in equation 1.
= (x⁵ + 8)/(x + 1)
= (x⁵ + 8)/[1/x]
Simplifying;
= (x⁵ + 8)x
Multiplying x on both values;
= x⁵x + 8x
= x⁶ + 8x
Thus, the value of the given expression is (x⁶ + 8x).
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what is the value of this equation?:
[tex]( \sqrt[3]{9} )^{2} \times ( \sqrt{30} ^{2}[/tex]
Answer:
Step-by-step explanation:
When we apply the exponent rule: [tex](\sqrt[n]{x})^n = x[/tex]
[tex](\sqrt[3]{9})^2 * (\sqrt{20})^2 = 30(\sqrt[3]{9})^2[/tex]
[tex]= \mathrm{Decimal:\quad }\:129.80246\dots[/tex]
please help If f(x)=sinx, then f′(π/3) =
Answer:
[tex]f' \left(\dfrac{\pi}{3}\right) =\dfrac{1}{2}[/tex]
Step-by-step explanation:
Given function:
[tex]f(x)=\sin x[/tex]
The differentiation of sin(x) is cos(x).
[tex]\implies f'(x)=\cos x[/tex]
Therefore:
[tex]\implies f' \left(\dfrac{\pi}{3}\right) = \cos \left(\dfrac{\pi}{3}\right)[/tex]
[tex]\implies f' \left(\dfrac{\pi}{3}\right) =\dfrac{1}{2}[/tex]
Determine whether the vectors in each pair are normal to each other. (6,-3) and (2,4).
Since their dot product is zero, then (6,-3) and (2,4) are normal to each other.
Step-by-step explanation:
Two vectors are said to be normal or perpendicular to each other if the result of their dot product is equal to zero.
These two vectors are also called orthogonal to each other.
Let u = (u₁, u₂) and v = (v₁, v₂), then the dot product u . v is defined as:
u . v = u₁v₁ + u₂v₂
To check whether the vectors are normal to each other, let us check their dot product.
The given vectors are: (6,-3) and (2,4).
Let u = (6, -3) and v = (2, 4), then,
u . v = 6 . 2 + (-3) . 4
= 12 + (-12) = 0
Since u.v = 0, then (6,-3) and (2,4) are normal to each other.
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The left and right page numbers of an open book are two consecutive integers whose sum is 277. Find these page numbers.
The two page numbers are
(Use a comma to separate answers as needed.)
Answer:
138, 139
Step-by-step explanation:
You want the consecutive page numbers whose total is 277.
Consecutive numbersConsecutive integers differ by 1. If the lesser of two consecutive integers is represented by x, then the next one is (x+1). The sum of these two integers will be ...
x + (x +1) = 2x +1
We want to find the numbers whose sum is 277:
2x +1 = 277
2x = 276
x = 138
x+1 = 139
The two page numbers are 138, 139.
__
Additional comment
It is customary for the odd page number to be on the right when the book is open. Fortunately, this problem makes that be the case.
Therefore, two page numbers are 138, 139 of a left and right page numbers of an open book are two consecutive integers whose sum is 277.
What is integers?Positive numbers, negative numbers, and zero are examples of integers. 'Integer' is a Latin word that means 'complete' or 'completely'. This means that integers exclude fractions and decimals. In this article, we'll learn more about integers, their definition, and their properties.
All whole numbers & negative numbers are considered integers. This means that if we combine negative and whole numbers, we get a set of integers.
The difference between two consecutive integers is 1. The following integer is (x+1) if x is the lesser of two subsequent integers. These two integers' sum will be
x + (x +1) = 2x +1
So for 277 the equation will be
⇒ 2x +1 = 277
⇒ 2x = 276
⇒ x = 138
⇒ x+1 = 139
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Rotation 90° counterclockwise around the origin
Translation 17 units right and 12 units up
The point after all the rotation and translation will become (17 - y, x + 12) from (x, y).
We need to first rotate the point 90° counterclockwise around the origin.
Let the point be (x, y)
When rotating a point 90° counterclockwise about the origin, the coordinate of the point (x, y) will become (-y, x). In other words, x and y will be switched and y will become negative.
Now, we need to translate the point 17 units right.
So, it means that the x - coordinate of the point will become x + 17
So, the point now becomes:
( -y , x ) = ( - y + 17 , x)
(17 - y, x)
Now we have to translate the point 12 units up.
So, we get that:
(17 - y, x + 12)
Therefore, the point after all the rotation and translation will become (17 - y, x + 12) from (x, y).
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help me please!!! will mark brainliest!!
Answer:
2
Step-by-step explanation:
(0,2) is the y-intercept
What is the common difference in this recursive equation?
GIVING BRAINLIEST
look at the picture i attached :)
The common difference for the recursive equation [tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 5 is 5.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
We have,
The recursive equation:
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 5
and [tex]a_{1}[/tex] = -3
We can find the consecutive term using the recursive equation.
[tex]a_{2}[/tex] = [tex]a_{1}[/tex] + 5 = -3 + 5 = 2
[tex]a_{3} =a_{2}[/tex] + 5 = 2 + 5 = 7
The sequence we get is:
-3, 2, 7, 12,....
The common difference means the differences in between two consecutive terms.
2 - (-3) = 5
7 - 2 = 5
12 - 7 = 5
Thus the common difference is 5.
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Morgan spent $42 for a jacket. This was $14 less than twice what she spent for a a pair of jeans. How much were the jeans?
Responses
$28
$28
$21
$21
$22
$22
$31
Point G is the center of the small circle. Point X is the center of the large circle. Points G, H, and X are all on line segment GX.
what should be the area of a new circle that has a line segment GX as the diameter
The area of a new circle that has line segment GX as its diameter is 121 pi cm² .
Suppose that,
The radius of the small circle (GH) = 10 cm.
The radius of the big circle (HX) = 12 cm.
We will add the line GH and HX to get the total length of line segment GX.
So, GX = GH + HX
= 10 + 12
GX = 22 cm.
So, the diameter of new circle will be equal to line segment GX as it is given in the question.
Then, the area of new circle = π r² ( r = radius)
Radius = D/2 = 22/2 (D = Diameter)
r = 11
Now, Area = π × 11²
= 121π cm²
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Which angles are complementary to each other?
Answer:
C. <3 and<4
Step-by-step explanation:
Complementary angles are angles whose two angles make the sum 90°.
Guess bestie slay you'll do great!
Simplify each expression.
ln e
ln (e) = 1, by the properties of logarithm.
What is Logarithm?The opposite of exponentiation is the logarithm.This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.Now,
As seen by the definition of logarithms, [tex]log_b(a)=x[/tex]
In case of natural logarithm, b = e, i.e., [tex]log_e(a)=x[/tex] = ln (a) = x
In the given expression, a = e
Hence, ln (e) = x
By properties of logarithms, we get that: ln (e) = 1.
Hence, ln (e) = 1, by the properties of logarithm.
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I need help with this
The first 4 terms of the geometric sequence are 12 , 36 , 108 and 324.
In a geometric sequence, each term following the first is found by multiplying the preceding one by a constant, non-zero quantity known as the common ratio.
The nth term of a geometric series with first term a and common ratio r is given by [tex]a_n=ar^{n-1}[/tex] .
Given the first term of the geometric sequence is 12 .
And given [tex]a_n=a_{n-1}\times 3[/tex]
Now using the above formula:
a₂ = a₁ × 3
or, a₂ = 12 × 3 = 36
Again using the above formula:
a₃ = a₂ × 3
or, a₃ = 36×3 = 108
Similarly
a₄ = a₃ × 3
or, a₄ = 108 × 3 = 324
Hence the first four terms of the geometric sequence are 12 , 36 , 108 and 324 .
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a. An undefined term is a term that has been given no formal definition. In geometry, there are three undefined terms that form the basis for the subject. What are those three undefined terms? Do your best to define those terms.
The three undefined terms that form the basis for geometry are:
- Point
- Line
- Plane
What is undefined?The term undefined is often used to refer to an expression that is not assigned an interpretation or a value.
The main three undefined terms of geometry are:
- Point
In geometry, a point has no dimension.
A point is represented by a dot.
The point has no length, width, or thickness.
A dot can be very tiny or very large.
- Line
A line is a straight one-dimensional figure that has a length but does not have a thickness, and it extends endlessly in both directions.
A line is made of a set of points that is extended in opposite directions infinitely.
- Plane
A plane, in geometry, prolongs infinitely in two dimensions.
It has zero thickness, zero curvature, infinite width, and infinite length.
It is also known as a two-dimensional surface.
Thus,
The three undefined terms that form the basis for geometry are:
- Point
- Line
- Plane
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Plssss help this is harder than my hw and I am helping a second grader
Answer:
Ballio's goal is to read 23 books.
Step-by-step explanation:
9+9+9=27
27-4=23
27
9 9 9 (9x3=27)
31 (27+4)
27 4
23 (27-4)
Brainlist Pls!
Can anybody answer and simply this. (-8) × (-6)-(-5)²
Step-by-step explanation:
[tex] = - 8( - 6) - (25) \\ = 48 - 25 \\ = 23[/tex]
HOPE THIS HELPS!!
Laura can make six flower arrangements in 25 minutes if she makes a 18 flower arrangements how many minutes will it take her
Answer:
75 flowers
Step-by-step explanation:
she needs to make 18 arrangements, so we divide 18 by 6 and get 3. 3 * 25 is 75 so the answer is 75.
Laura will arrange 18 flowers within 75 minutes of the time.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Laura can make six flower arrangements in 25 minutes if she makes 18 flower arrangements. The time will be calculated as,
Time = ( 25 x 18 ) / 6
Time = 25 x 3
Time = 75 minutes
Hence, it will take 75 minutes to arrange 18 flowers.
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Please help me please help me
Simplify the expression to a polynomial in standard form
(x+6)(3x² + 4x − 3)
Answer:
3x^3 -8*x^2 + 8*x + 3
Step-by-step explanation:
The standard form for a plolynomial is:
a*x^n + b*x^(n-1) + c*x^(n - 2) ........
We have:
(x-1)(3x^2-5x-3)
this is equal to:
3*x^3 - 5*x^2 + 3*x - 3*x^2 +5*x + 3
where the thing that i did is distribute the multiplication
this is equal to:
3x^3 -8*x^2 + 8*x + 3
Find the two consecutive asymptotes, the period (in radians), the phase shift (in radians) and the vertical shift of the function: y = 4csc(5θ - 3π/4)
Answer:
Phase shift = [tex]\frac{3\pi }{5}[/tex]
Vertical shift = [tex]0[/tex]
Step-by-step explanation:
Shift Definition
[tex]\text{For\:}f\left(x\right)=A\cdot g\left(Bx-C\right)+D\text{,\:where\:}g\left(x\right)\text{\:is\:one\:of\:the\:basic\:trig\:functions,\:}[/tex] [tex]\frac{C}{B}\text{\:is\:phase\:shift}[/tex], [tex]D\text{\:is\:vertical\:shift}[/tex]
Here we have
[tex]\left(x\right)=4\csc \left(\frac{5\theta-3\pi }{4}\right)[/tex]
which can be written in the form [tex]g\left(Bx-C\right)=\csc \left(\frac{5\theta-3\pi }{4}\right)[/tex]
So comparing the two we get [tex]B=\frac{5}{4}, C=\frac{3\pi }{4},\:D=0[/tex]
Phase shift = [tex]\frac{C}{B} = \frac{\frac{3\pi }{4}}{\frac{5}{4}}[/tex] [tex]= \frac{3\pi }{5}[/tex]
Vertical shift [tex]D = 0[/tex]
16+56 divided by 2^3-17 order operations
Answer: The answer is -9
Step-by-step explanation: so the equation is 16+56/2^3-17. First we multiply 2^3 which makes 8 and now we have 16+56/8-17 and then continue with addition and subtraction were left with 72/-9 then we divide it and were left with -8 as our total!
Hoped this helped! C:
The value of the expression is 6.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
16 + 56 ÷ 2³ - 17
Applying PEMDAS.
= 16 + 56 ÷ 8 - 17
= 16 + 56/8 - 17
= 16 + 7 - 17
= 16 - 10
= 6
Thus,
The value of the expression is 6.
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A canteen has fixed cost of 1500 per week.meal costs 5 each are sold at a fixed price of 9 each.write down the eq for total cos
An equation for the total cost is TC = 1500 + 5x
In this question, a canteen has fixed cost of $1500 per week.
A meal costs $5 each are sold at a fixed price of $9 each.
We need to write the equation for the total cost.
Let x be the number of individuals.
Let TC represents the total cost.
So, an equation for the total cost would be,
TC = 1500 + 5x
Therefore, an equation for the total cost is TC = 1500 + 5x
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is –10 an irrational number?
10,12,14 please help
Answer:
Step-by-step explanation:
I cannot tell which points are which. We need a clearer picture if you do not mind