Answer:
80⁰
Step-by-step explanation:
Angle = x
Complement = 90 - x
Given:
8x = 90 - x
9x = 90
x = 10⁰
Complement = 90 - 10 = 80⁰
The complement of an angle is 8 times as large as the angle. The measure of other angle is 80⁰.
What are complementary angles?The complement of an angle is the sum of angles which is equal to 90 degrees.
Let one Angle = x
Complement = 90 - x
The complement of an angle is 8 times as large as the angle.
so,
8x = 90 - x
9x = 90
x = 10⁰
Complement = 90 - 10
= 80⁰
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HELP ASAP!!! ill mark brainliest! Which of the following graphs represents the function ƒ(x) = 2x?
A graph that correctly represents the exponential function [tex]f(x) = 2^x[/tex] include the following; B. graph B.
How to write and graph an exponential function?In Mathematics and Euclidean Geometry, an exponential function can be modeled by using this mathematical equation:
[tex]f(x)=a(b)^x[/tex]
Where:
a represents the initial value or y-intercept.x represents x-variable.b represents the rate of change or common ratio.Based on the information provided above, we would select the following exponential function to plot on a set of axes or cartesian coordinate;
[tex]f(x) = 2^x[/tex]
where:
The rate of change (b) is 2 and it represents an exponential growth.
The y-intercept (a) is 1 and it means the graph of this function would cross the y-axis at point (0, 1).
In conclusion, we can logically deduce that only graph B correctly represent an exponential function with these key features.
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Missing information:
Which of the following graphs represents the function [tex]f(x) = 2^x[/tex]?
What is the range of the function graphed below?
Which expression represents the sum of (2x-5y) and (x+y)?
A. 3x-4y
B.3x-6y
C.x-4y
Dx-6y
(-9,17); slope= -4/3
An equation of the line in slope-intercept form that passes through the point (-9, 17) and has a slope of -4/3 is y = -4x/3 + 5.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.At data point (-9, 17) and a slope of -4/3, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 17 = -4/3(x - (-9))
y - 17 = -4x/3 - 12
y = -4x/3 - 12 + 17
y = -4x/3 + 5
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Complete Question:
Write an equation in slope-intercept form of the line that passes through the point (-9,17) and had a slope of -4/3.
Write the first five terms of a sequence. Write both an explicit formula and a recursive formula for a general term in the sequence. recursive formula for arithmetic sequence recursive formula for geometric sequence how to write a recursive formula recursive formula calculator arithmetic sequence formula calculator geometric sequence formula recursive sequence write the first five terms of the arithmetic sequence Report inappropriate predictions
9, 12, 19, 30, ...
Therefore the whole formula for the nth term is;Answer with explanation:
⇒Arithmetic Sequence
11,21,31,41,51,......
First term[tex]a_{1}[/tex] =11
Common Difference(d)=21-11=10
[tex]\rightarrow a_{n}=a_{n-1}+10---{\text{Recursive formula}}\\\\\rightarrow a_{n}=a_{1}+(n-1)d\\\\a_{n}=11+(n-1)\times 10\\\\a_{n}=10n+1---{\text{Explicit formula}[/tex]
⇒Geometric Sequence
First five terms of the sequence are
[tex]4,4^2,4^3,4^4,4^5,.....\\\\\text{First term}=a_{1}=4\\\\ \text{Common ratio},r=\frac{a_{2}}{a_{1}}\\\\r=\frac{4^2}{4}\\\\r=4\\\\a_{n}=4\times a_{n-1}---\text{Recursive formula}\\\\a_{n}=a_{1}\times r^{n-1}\\\\a_{n}=4\times 4^{n-1}\\\\a_{n}=4^{1+n-1}\\\\a^n=4^n-----\text{Explicit formula}[/tex]
Three cubes of edge 12 cm are joined together (end to end).Find the volume of the resultng cuboid
A sample of n = 6 scores has a mean of m = 5. one person with a score of x = 12 is added to the distribution. what is the mean for the new set of scores?
Final answer:
To calculate the new mean after adding a score of 12 to the original 6 scores with a mean of 5, determine the total sum of the original scores, add 12, and divide by the new number of scores. The new mean for the 7 scores is 6.
Explanation:
To find the new mean when one person with a score of x = 12 is added to a sample of n = 6 scores with a current mean of m = 5, first calculate the total sum of the scores before the new score is added. This can be done by multiplying the mean by the number of scores. Then add the new score to this total and divide by the new number of scores.
Calculate the total sum of the original scores: Total sum = mean × number of scores = 5 × 6 = 30.Add the new score to the total sum: New total sum = 30 + 12 = 42.Calculate the new mean by dividing the new total sum by the new number of scores: New mean = New total sum ÷ new number of scores = 42 ÷ 7 = 6.So, the mean for the new set of scores is 6.
2.4 + 5.4q – 4.5q + 3.6
a.6+1.1q
b.9.9q+6
c.0.9q+6
d.9.9q-6
Answer:
c!
Step-by-step explanation:
i did the test loll <3
How many distinct and real roots can an nth-degree polynomial have?
look at the question below // 50 points // please help!!
Hi there!
I believe your answer is A. Asymptote. It wouldn't be focus or axis, those just don't make sense. This means it could be either asymptote or directrix. Directrix is a fixed line describing a curve or surface. An asymptote is a line that continually approaches a given curve but does not meet it at any finite surface. Therefore, your answer is asymptote.
Hope this helps!
- Chris
The function h(x)=x^2+3 and g(x)=x^2-6.If g(x)=h(x)+k, what is the value of k
Answer:
g(x) = (x – 9 )2 + -8
Step-by-step explanation:
Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none.
Answer:
Option A. AB || DC
Step-by-step explanation:
In the given picture measurement of angle 2 = measurement of angle A
or m∠2 = m∠A (opposite angles)
This only possible only when m∠A = m∠2 = m∠C (Corresponding angles)
If these angles are equal then two lines AB and DC are parallel and two transverse AB and DC are intersecting them.
Therefore option A. AB || DC is the answer.
helpp me pleasweeee?!??!!
please help idk this one !!Which represents the solution(s) of the system of equations, y + 4 = x2 and y – x = 2? Determine the solution set by graphing.
(–2, 0)
(–2, 0) and (2, 0)
(–2, 0) and (3, 5)
no solutions
Answer:
[tex](-2,0)[/tex] and [tex](3,5)[/tex]
Step-by-step explanation:
we have
[tex]y+4=x^{2}[/tex] -----> equation A
Is a vertical parabola open upward
[tex]y-x=2[/tex] ----> equation B
Is the equation of a line
we know that
The solution of the system of equations is the intersection point both graphs
Using a graphing tool
The intersection points are [tex](-2,0)[/tex] and [tex](3,5)[/tex]
see the attached figure
The bear population increases at a rate of 3% each year. There are 1462 bears this year. How many bears will there be in 10 years?
Final answer:
The bear population will be approximately 1965 bears in 10 years.
Explanation:
To calculate the bear population in 10 years, we can use the formula for exponential growth:
P = P₀(1 + r)ⁿ
Where:
P is the final population
P₀ is the initial population
r is the growth rate as a decimal
n is the number of years
In this case, the initial population (P₀) is 1462, the growth rate (r) is 3% (0.03), and the number of years (n) is 10. Plugging these values into the formula, we get:
P = 1462(1 + 0.03)¹⁰ ≈ 1965.32
Therefore, there will be approximately 1965 bears in 10 years.
What is the measure of AC? Enter your answer in the box. ___°
Do not answer for points. If so, you WILL be reported and points be taken BACK. -.-
Answer:
AC = 21⁰
Step-by-step explanation:
arc AC has central angle 3x+9 n its inscribed angle <ABC is 3x-1.5
central angle = 2 * inscribed angle
3x+9 = 2 * (3x-1.5)
3x+9 = 6x -3
3x = 12
x = 4
so arc AC = (3*4 + 9) = 21⁰
A nautical mile is a unit of distance frequently used in ocean navigation. It is defined as the length of an arc s along a great circle on the earth when the subtending angle has measure 1' = "one minute" = 1/60 of one degree. Assume the radius of the earth is 3,960 miles.
Find the length of one nautical mile to the nearest 10 feet.
The value of one nautical mile to the nearest feet is [tex]\boxed{6080{\text{ feet}}}[/tex].
Further Explanation:
The arc, radius and the angle are related to each other.
The angle can be obtained as the ratio of an arc of the circle to the radius of the circle.
The formula for the angle can be expressed as,
[tex]\boxed{{\text{Angle = }}\frac{{{\text{length of an arc}}}}{{{\text{radius of circle}}}}}[/tex]
The length of an arc can be obtained as,
[tex]\boxed{{\text{Length of an arc}}=\left({{\text{radius}}\times{\text{angle}}}\right)}[/tex]
Given:
The angle is one minute represented by 1'.
One minute is equal to [tex]{\left({\frac{1}{{60}}}\right)^\circ}[/tex].
The radius of earth is 3960 miles.
Explanation:
One mile is equal to 5280 feet.
[tex]\boxed{1{\text{ mile}}=5280{\text{ feet}}}[/tex].
The radius in feet can be expressed as follows,
[tex]\begin{aligned}Radius&=3960\times5820\\&=20908800{\text{ feet}}\\\end{aligned}[/tex]
Convert the angle into radian.
[tex]\boxed{1{\text{ degree}} = \frac{\pi }{{180}}{\text{ radian}}}[/tex]
The value of [tex]\frac{1}{{{{60}^ \circ }}}[/tex] can be obtained as follows,
[tex]\begin{aligned}{\text{Angle}}&=\frac{1}{{60}}\times\frac{\pi }{{180}}\\&=\frac{\pi }{{10800}}\\\end{aligned}[/tex]
The length of an arc of the earth can be obtained as follows,
[tex]\begin{aligned}{\text{length of an arc}}&=20908800\times\frac{\pi }{{10800}}\\&=6080{\text{ feet}}\\\end{aligned}[/tex]
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1. Learn more about inverse of the function https://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Unit and Measurement
Keywords: Nautical mile, unit distance, earth, radius of earth, great circle, one degree, length of nautical unit, feet.
15) Which equation does not represent a function?
A) y = 2x + 3
B) x = 4y + 7
C) 6x - 5y = 8
D) y2 = -5x - 8
Which of the following interpretations for the given expression is correct?
the cube of the difference of 5 times the square of y and 7 divided by the square of 2 times y
the difference of the cube of 5 times the square of y and 7 divided by 2 times the square of y
the cube of the difference of the square of 5 times y and 7 divided by the square of 2 times y
the cube of the difference of 5 times the square of y and 7 divided by 2 times the square of y
Answer:
The cube of the difference of 5 times the square of y and 7 divided by the square of 2 times y.Step-by-step explanation:
The give expression is:
[tex]\frac{(5y^{2}-7)^{3} }{(2y)^{2} }[/tex]
In words, this expression would have all these statement referring to each operation:
The cube of the difference, because the difference is inside the cubic power.Of 5 times the square of y and 7, because these are the terms that are being subtracted.Divided by, because the expression described before is in a quotient.The square of two times y, because the both factor are inside the squared power.Therefore, the first statement is correct.
Fred played golf and for the past 5 times had a score of 82, 79, 83, 71, and 80. What was his average score?
The base of a triangle is 9 inches more than 3 times the height. if the area of the triangle is 105 square inches, find the base and height.
You are going to movies friday night (not a matinee). which of the theaters will cost the least, if you intend to have soda and popcorn? theater a theater b theater c adults $6.25 $7.25 $5.25 children $3.50 $3.75 $4.25 soda $2.00 $2.00 $2.50 popcorn $2.50 $2.00 $2.50
Theater C is the least expensive option for an adult going to the movies on Friday night with the cost of tickets, soda, and popcorn totaling $10.25.
To find out which theater will cost the least for a movie on Friday night including soda and popcorn, we need to calculate the total cost for each theater and then compare the costs. Let's assume you are an adult going to the movie.
Theater A: Movie ($6.25) + Soda ($2.00) + Popcorn ($2.50) = $6.25 + $2.00 + $2.50 = $10.75Theater B: Movie ($7.25) + Soda ($2.00) + Popcorn ($2.00) = $7.25 + $2.00 + $2.00 = $11.25Theater C: Movie ($5.25) + Soda ($2.50) + Popcorn ($2.50) = $5.25 + $2.50 + $2.50 = $10.25Comparing the total costs, Theater C has the lowest cost at $10.25.
Simplify:
(x^3-8)
ok i know it simplifies to (x-2)(x^2+2x+4)
but i don't know why
Can anyone help me with this math problem???
Solve the inequality.
–12m < –24
Choose the correct sum of the polynomials (4x3 − 2x − 9) + (2x3 + 5x + 3). 6x3 − 3x − 6 2x3 − 7x − 12 6x3 + 3x − 6 2x3 + 3x − 3
Answer:
[tex]6x^3+3x -6[/tex]
Step-by-step explanation:
(4x3 − 2x − 9) + (2x3 + 5x + 3)
[tex](4x^3 - 2x - 9) + (2x^3 + 5x + 3)[/tex]
To add two polynomials, we remove the parenthesis
[tex]4x^3 - 2x - 9+2x^3 + 5x + 3[/tex]
To add it , we combine like terms. we add the like terms
[tex]4x^3+2x^3- 2x+ 5x - 9+ 3[/tex]
[tex]6x^3+3x -6[/tex]
please help 1.Bryce started with $450 in a bank account that does not earn interest. In the middle of every month, he withdraws 1/2 of the account balance. Which recursive function rule models Bryce’s balance at the end of each month?
Which of the binomials below is a factor of this trinomial?
x2 + 4x + 4
A. x - 2
B. x + 2
C. x - 4
D. x + 4
Using the figure below, select the two pairs of alternate interior angles.
1 and 4
2 and 3
6 and 7
5 and 8
Answer
Options second and third
Reason
From the figure we get l and m are two parallel lines and t is the traversal.
There are two pairs of alternate interior angles
The pairs of alternate interior angles are equal
pairs of alternate interior angles
2 and 3
6 and 7
Similarly there are alternate exterior angles are there. Other two options are alternate exterior angles
Write an equation for the line that is parallel to the given line and that passes through the given point.
y =3/4 x – 9; (–8, –18)
To write an equation for a line that is parallel to a given line and passes through a given point, use the point-slope form of the linear equation. The slope of the parallel line is equal to the slope of the given line. Plug in the values and simplify to get the equation.
Explanation:To find an equation for a line that is parallel to the given line and passes through the given point, we need to use the fact that parallel lines have the same slope. The slope of the given line is 3/4, so the slope of the parallel line will also be 3/4. Using the point-slope form of a linear equation, we can write the equation:
y - y1 = m(x - x1)
where (x1, y1) is the given point and m is the slope. Plugging in the values, we get:
y - (-18) = 3/4(x - (-8))
Simplifying the equation gives:
y + 18 = 3/4(x + 8)
Next, we can distribute the 3/4 to both terms in the parentheses:
y + 18 = 3/4x + 6
To isolate y, we subtract 18 from both sides:
y = 3/4x - 12
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