Answer:
27
Step-by-step explanation:
243/9
find x . geometry please help
The value of x in the circle is given as follows:
x = 23.
How to calculate the value of x?The value of x in the circle is calculated using the tangent-secant theorem, which states that when a secant and a tangent are drawn to a circle from the same external product, the product of the length of the secant and of it's external segment equals the square length of the tangent segment.
The parameters for this problem are given as follows:
Secant: 27 + 2x + 2 = 2x + 29.External segment: 2x + 2.Tangent: 3x - 9.Then, the value of x is obtained applying the product from the tangent-secant theorem as follows:
(2x + 29)(2x + 2) = (3x - 9)²
4x² + 62x + 58 = 9x² - 54x + 81
5x² - 116x + 23 = 0.
Which is a quadratic equation with the coefficients given as follows:
a = 5, b = -116, c = 23.
Using a quadratic equation calculator, the solutions are given as follows:
x = 0.2 -> extraneous, as the length 3x - 9 would be negative.x = 23.More can be learned about the tangent-secant theorem at https://brainly.com/question/9132922
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PLEASE HURRY
Solve the following equation:
5- (4x+3)= 1/2 (8x - 12)
Please solve for x
Answer:
x=1
Step-by-step explanation:
---------- -----------
x =1
Isolate the variable by dividing each side by factors that don't contain the variable.
- Write a two-step problem that contains a hidden question about buying something at the mall. Tell what the hidden question is and solve your problem. Use $8.95 somewhere in your equation. Write your answer in a complete sentence.
The hidden question (that uses $8.95 in the equation) along with the answer is mentioned below.
What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is to write a two-step problem that contains a hidden question about buying something at the mall.
The problem is as follows -
You are visiting a mall where you bought 10 chocolates each of $8.95. You had $100 with yourself. If you are left with with $x, then find x.
Answer to the problem -
We can write the equation for [x] as -
x = 100 - (8.95 x 10)
x = 100 - 89.5
x = 10.5
Therefore, the hidden question along with the answer is given above.
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Equations are given whose graphs enclose a region. Find the area of the region. (Give an exact answer. Do not round.)f(x) = x^2 + 5; g(x) = −x^2; x = 0; x = 3
The equations whose graphs encompass a region are thus provided. when the region's area is 301.5
Define area.The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies. The simplest technique is to multiply the room's length and width. The floor surface area for a rectangular room is equal to the length times the width. The formula for this is area = length x width (A = lw).
Given
g(x) = x²
x = 0
x = 3
We must determine the area using the functions f(x) and g(x), which are provided.
ₐ∫ᵇ (f(x) + g(x)) dx
₀∫³ (x² + 15(x + 5)) dx
₀∫³ (x²dx + ₀∫³15(x + 5)) dx
(x³/3) + 15x²/2 + 75x
₀[x³/3]³ + ₀[15x²/2 + 75x]³
[(3 - 0)³/3] + [15(3 - 0)²/2 + 75(3 - 0)]
27/3 + 15(9/2) + 75(3)
9 + 15(4.5) + 7
76.5 + 225
301.5
The equations whose graphs encompass a region are thus provided. when the region's area is 301.5
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( What value of h makes the equation true? )
-1/8 (2h + 4) + 1/2 = -7/4
. H = ?
. Please explain step by step!!
Henry has a rope that is 5 meters long. He cuts away a piece that is 1.27 meters long. How long is the remaining piece of rope?
need it now pls
The length of the remaining rope is 3.73 meters.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Length of the rope = 5 meters
Length of the rope that is cut away = 1.27 meters
The remaining length of the rope.
= 5 - 1.27
= 3.73 meters
Thus,
The remaining length of the rope is 3.73 meters.
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Will give brainliest if answered
thank you
Answer: [tex]h(x)=549(0.7)^{x}[/tex]
Step-by-step explanation:
I need help in stuck on this
Answer:
-22
Step-by-step explanation:
f(4) = [tex]2^{4}[/tex] + 8 = 24
f(-2) = [tex](-2)^{2}[/tex]-48 = -46
24 + -46 = -22
What is the scale factor of the geometric sequence?
4, −12, 36, −108, . . .
Enter your answer in the box.
Answer:
Step-by-step expl
The first three terms of an arithmetic sequence are as follows 17,13,9
Help me please it’s due tomorrow!!!!!
Answer:
130 more dollars.
Answer:
130
Step-by-step explanation:
The functions f and h are defined as follows:
f(x) = (x + 5)/(x - 7) and h(x) = (x + 5)(x - 7).
Explain why the functions f and h are not the same function.
The functions f and h are not the same because they are composed of different operations.
What is Function?A function is a block of code that performs a specific task. It can accept input in the form of parameters, and may return an output. Functions are an important part of programming, as they allow for the repetition of code without having to write the same lines multiple times. This increases code readability and eliminates the need to debug multiple lines of code. Functions can also be reusable, meaning they can be called and used over and over again with different parameters.
Function f takes the ratio of two terms while function h takes the product of two terms. Additionally, the terms in the two functions are different. Function f takes the sum of x and 5 and the difference of x and 7 while function h takes the sum and the difference of the same two terms. As a result, the functions f and h will generate different outputs for the same input.
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Prehistoric cave painting were discovered. The paint contained 5% of the original carbon-14. Estimate the age of the paintings using the exponential decay model for carbon-14, A=A_0e ^-0.000121t (round to the nearest whole number as needed.)
About 24 ,758 years have passed since the cave drawings were created.
What is the age formula?If one's age is x now, one's age will be nx in the future. Age n years from now equals x + n if the age at currently is x. Age n years ago equals x - n if the current age is x. The ages will be ax and bx in the ratio a: b.
What is the measure age?The time since birth, which is typically expressed as an exact number of years or a finished number of years, is known as a person's chronological age.
A is the current sum.
A0 is the original sum.
A0 = A0 A0 = A0 0.05 e-0.000121t
A / A0 = e-0.000121t
0.05 = e-0.000121t, 0.05 = ln e-0.000121t, 0.05 = -0.000121t, 0.05 = e, and 0.05 = -0.000121t, respectively.
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The artwork is 24,758 years old, according to the exponential equation's solution.
Is power equivalent to exponential?Exponents are frequently referred to as strengths or indices. In plain English, a power expression is one that depicts the same number being multiplied repeatedly, whereas an exponent is a quantity that depicts the powers to which the value is increased.
Briefing:A = current amount
A₀ = original amount
0.05 A₀ = A
A = A₀ [tex]e^{-0.000121t}[/tex]
A / A₀ = [tex]e^{-0.000121t}[/tex]
0.05 = [tex]e^{-0.000121t}[/tex]
ln 0.05 = ln [tex]e^{-0.000121t}[/tex]
ln 0.05 = -0.000121t ln e
ln 0.05 = -0.000121t
-2.9957 ≈ -0.000121t
24758.11 ≈ t
About 24,758 years have passed since the cave drawings were created.
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A study of college football games shows that the number of holding penalties assessed has a mean of 2.3 penalties per game and a standard deviation of 1.1 penalties per game.
What is the probability that, for a sample of 40 college games to be played next week, the mean number of holding penalties will be 2 penalties per game or more?
Carry your intermediate computations to at least four decimal places. Round your answer to at least 3 decimal places
The probability that, for a sample of 40 college games to be played next week, the mean number of holding penalties will be 2 penalties per game or more is of:
0.9582 = 95.82%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].The parameters for this distribution are given as follows:
[tex]\mu = 2.3, \sigma = 1.1, n = 40, s = \frac{1.1}{\sqrt{40}} = 0.1739[/tex]
The probability that the mean number of holding penalties will be 2 penalties per game or more is one subtracted by the p-value of Z when X = 2, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
Z = (2 - 2.3)/0.1739
Z = -1.73.
Z = -1.73 has a p-value of 0.0418.
Hence:
1 - 0.0418 = 0.9582 = 95.82%.
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Write a numerical expression to represent the phrase "the sum of 25 and the cube of 9." Do not evaluate the expression.
Answer:
25 + 9^3
Step-by-step explanation:
NO LINKS!! Please help me with the Domain and Range and Functions Part 3bb
Domain - the set of possible x-coordinates of a function.
Range - the set of possible y-coordinates of a function.
Question 30
Domain is:
x ∈ [- 6, 6], both ends included as part of graph.Range is:
y ∈ [-3, 7], both ends included as part of graph..This is not a function as it fails the vertical line test.
Question 31Domain is:
x ∈ [- 2, 2], one end is is part of the graph and the other is closed circle.Range is:
y ∈ [-6, 6], both ends included as closed circles.This is not a function as it fails the vertical line test.
Answer:
30.a) Domain: [-6, 6]
30.b) Range: [-3, 7]
30.c) Function: No
31.a) Domain: [-2, 2]
31.b) Range: [-6, 6]
31.c) Function: No
Step-by-step explanation:
Definitions
An open circle indicates the value is not included in the interval.A closed circle indicates the value is included in the interval.An arrow shows that the function continues indefinitely in that direction.Interval notation
( or ) : Use parentheses to indicate that the endpoint is excluded.[ or ] : Use square brackets to indicate that the endpoint is included.The domain is the set of all possible input values (x-values).
The range is the set of all possible output values (y-values).
Question 30The graph is a conic section (ellipse) and therefore it is not a function.
The smallest x-value is x = -6 and the greatest x-value is x = 6.
The smallest y-value is y = -3 and the greatest y-value is y = 7.
Therefore, the domain and range in interval notation are:
Domain: [-6, 6]Range: [-3, 7]The graph is a not a function as almost all the inputs (x-values) are related to more than one output (y-value).
Question 31From inspection of the graph, the endpoints of the continuous line are:
(-6, 0) and (2, 6)Both endpoints are closed circles, so the values are included in the domain and range.
The smallest x-value is x = -2 and the greatest x-value is x = 2.
Therefore, the domain in interval notation is:
Domain: [-2, 2]The smallest y-value is y = -6 and the greatest y-value is y = 6.
Therefore, the range in interval notation is:
Range: [-6, 6]The graph is a not a function as not all inputs (x-values) are related to one output (y-value).
What happens to y = x when the slope is changed to a negative number?
If the slope is a negative number for example, y = - x then it would go up one and to the left one because it's a negative number. Negative slopes will always go through the coordinate plant II and IV
1. The graph below shows the number of children's and adult tickets sold each day of a performance.
(a) What is the slope of the line? Show your work.
(b) What is the equation of the line in point-slope form?
(c) What is the equation of the line in slope-intercept form?
(d) What is the equation of the line in standard form? Show your steps in converting to standard form.
Answer:
(a) -2
(b) y -120 = -2(x -10)
(c) y = -2x +140
(d) 2x +y = 140
Step-by-step explanation:
Given a graph with y-intercept 140 and x-intercept 70, you want the slope and various equations describing the graph.
(a) SlopeThe line drops from a y-value of 140 to 0 as x increases from 0 to 70. The slope is ...
m = rise/run = -140/70 = -2
The slope of the line is -2.
(b) Point-slope equationThe point-slope equation of the line with slope m through point (h, k) is ...
y -k = m(x -h)
We have a line with slope -2 that goes through the point (10, 120), so we can write the equation as ...
y -120 = -2(x -10)
(c) Slope-intercept formIn part (a) we identified the y-intercept as 140, so we can write the equation as ...
y = mx + b . . . . . line with slope m and y-intercept b
y = -2x +140 . . . . . . line with slope -2 and y-intercept 140
(d) Standard formThe slope-intercept equation can be converted to standard form by adding the opposite of the x-term to both sides.
y +2x = -2x +2x +140 . . . . . 2x added to both sides
2x +y = 140 . . . . . . . . . standard form equation of the line
The sum of two numbers is 43 . One number is 19 more than the other.find the numbers
Robert had 362 in his bank account. He first spent 54 and then 82 how much money does Robert have left
If Robert had 362 in his bank account. If he first spent 54 and then 82 then the amount left in Robert bank account is $226.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that the amount in Roberts bank account is $362.
He first spent 54 and then 82
We need to find the amount left in Robert account.
This we can find by finding the total amount he spent and removing total amount spent from the total amount he has in his account.
The total amount he spend=54+82
Fifty four plus eighty two
136
One hundred thirty six.
The amount left we calculate by subtracting 136 from 362.
362-136
We get 226.
Hence, the amount left in Robert bank account is $226.
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13. Mark and his brother signed up for the Catch Up
phone plan. They share the minutes every month
equally. How many minutes can Mark use each
day without going over his share of minutes?
Answer: 12 minutes
Let us suppose the number of minutes per month is 720. ( i have assumed this data from myself, you use any data you want, remember the procedure)
Now, Mark and his brother share the minutes every month equally.
So, clearly, Mark and his brother would get 360 minutes each every month.
Now, Mark has 360 minutes each month
therefore, Mark has 360/30 minutes per day
= 12 minutes each day.
Step-by-step explanation:
Which of the following properly expresses the
verbal
statement "The square root of a number, x, is 5
less than
the sum of the number and 2" ?
F. √x = 5-(x + 2)
G√√√x = (x + 2)-5
Answer:F. √x = 5-(x + 2)
Step-by-step explanation:
SLOVE THIS IF YOUR SMART IF YOU SLOVE YOU GET A cookies
The quotient of the given division problem is 2 remainder is 13.
What is a number system?The number system is a way to represent or express numbers.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given division problem,
If we divide 77 by 32 then it goes to 2 times that is called the quotient.
The remainder is 77 - 32 x 2 = 13
Hence "The above division issue has a quotient of 2 and a remainder of 13.".
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Given quadrilateral ABCD with A(-4,-2), B(-3,2), C(2,4) and D(4,-3). Find the area in square units.
The area of the quadrilateral ABCD, with the vertices coordinates A(-4, -2), B(-3, 2), C(2, 4), and D(4, -3), is 18 square units
What is a quadrilateral?A quadrilateral is a four sided polygon, that has a sum of the interior angles of 360°
The area of the quadrilateral can be calculated as comprising of the area of two triangles, with vertices; B(-3, 2), C(2, 4), D(4, -3), and B(-3, 2), C(2, 4), A(-4, -2)
The area of a triangle with known coordinates of the vertices is precented as follows;
Let (x₁, y₁), (x₂, y₂), (x₃, y₃) represent, the vertices of the triangle, we get;
A = 0.5×|x₁·y₂ - x₂·y₁ + x₂·y₃ - x₃·y₂ + x₃·y₁ - x₁·y₃|
Therefore;
The area, A₁ of the triangle ΔBCD with vertices at the coordinates (-3, 2), (2, 4), (4, -3), is found as follows;
A₁ = 0.5 × |(-3)×4 - 2×2 + 2 ×(-3) - 4 × 4 + 4×2 - (-3)×4| = 9
Similarly, the area, A₂, of the triangle, ΔBCA with vertices (-3, 2), (2, 4), (-4, -2), is found as follows;
A₂ = 0.5 × |(-3)×4 - 2×2 + 2 ×(-2) - (-4) × 4 + (-4)×2 - (-3)×(-2)| = 9
The area of the quadrilateral, A = A₁ + A₂, is therefore;
The area of the A = 9 + 9 = 18
The area of the quadrilateral ABCD is 18 square units
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Solve for w |w|=6 I have HW and I need help
[tex]w=\sqrt{6},\sqrt{-6}[/tex]
What is modulus ?
A modulus function is a function that determines a number or variable's absolute value. It generates the size of the variable count. A function with absolute values is another name for it. No matter what input was provided to this function, the output is always favourable. The equation is y = |x|.
Given:
[tex]w|w|=6\\w(-w)=6[/tex]
or
[tex]w(w)=6[/tex]
solving both one by one,
[tex]w(-w)=6\\-w^{2} =6\\w=\sqrt{-6}[/tex]
and,
[tex]w(w)=6\\w^{2} =6\\w=\sqrt{6}[/tex]
[tex]w=\sqrt{6},\sqrt{-6}[/tex]
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y=-2x coordinate plane
Answer:
The Y=-2x coordinate plane is a two-dimensional plane that represents all possible points with coordinates that satisfy the equation Y=-2x. The Y axis is the vertical axis, and the X axis is the horizontal axis. A point on the Y=-2x coordinate plane can be represented by an ordered pair (x, y), where x is the distance of the point from the Y axis, and y is the distance of the point from the X axis. In the Y=-2x coordinate plane, the Y coordinate of a point is always equal to -2 times the X coordinate of that point.
Step-by-step explanation:
aisha estimated that she has 10 books in her library she actually has 8 books what is the percentage error?
The percentage is the indicating hundredth thus percentage error will be 20%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
Estimated books = 10
Actually number = 8
% error = (10 - 8)/10 x 100 = 20%
Hence "Since the percentage is one-hundredth of a percent, the mistake will be twenty percent.".
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HELP ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:i think its the second one
Step-by-step explanation:
Which point could be removed in order to make the relation a function , (0,2) (3,8) (-4,-2) (3,-6) (-1,8) (8,3)
A:(8,3)
B:(3,-6)
C:(-1,8)
D:(-4,-2)
Answer: B
Step-by-step explanation:
(3,8) and (3,-6) both have an x of 3, but a different y, so the list is not a function. If you remove (3,-6), it is a function because the 3 no longer repeats.
Eric took out an 80/20 mortgage to buy a $175,000 house. The first (80%)
mortgage has an interest rate of 4.75%, and the second (20%) mortgage has
an interest rate of 7.525%. Both mortgages are 30-year fixed-rate mortgages..
What is the total mortgage payment for this house?
Answer:
The total monthly mortgage payment for the house is $975.63
Step-by-step explanation:
your welcome
what is the slope?
Simplify Your answer and write it as a proper fraction, improper fraction, or integer
Answer: 1/2
Step-by-step explanation: