The equation of direct variation given that y varies directly with x.
y is 15 when x is 11 will be [tex]y = \dfrac{15}{11} x[/tex].
What is proportionality?The proportional relationship between x and y can be written symbolically as
[tex]x \propto y[/tex]
That middle sign is called the sign of proportionality.
Variation: Direct from y to x:
[tex]x \propto y[/tex]
y = 15, x= 11
Write the equation
[tex]x \propto y[/tex]
Express as an equation
[tex]y = kx[/tex]
Where k is the constant of variation
Substitute
y = kx
15 = 11k
Solve for k
k = 15/11
Substitute in [tex]y = kx[/tex]
[tex]y = \dfrac{15}{11} x[/tex]
Thus, the equation of direct variation given that y varies directly with x.
y is 15 when x is 11 will be [tex]y = \dfrac{15}{11} x[/tex].
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Evaluate each function at the given value using the remainder theorem.
F(x)=x^4+5x^3-18x+1 at x=-4
Please show work , I give brainliest. :)
Answer:
9
Step-by-step explanation:
[tex]f(x) = x^4 +5x^3 -18x +1\\\\f(-4) = (-4)^4 +5(-4)^3 -18(-4) +1\\\\~~~~~~~~~=256+5(-64)+72+1\\\\~~~~~~~~~=329-320\\\\~~~~~~~~~=9[/tex]
In a race, karen rode her bike for 1 hours
and then swam for 45 minutes. how long
did karen spend riding her bike and
swimming in the race? (1 hour - 60 minutes)
Karan swam and biked for a total of 1 hour and 45 minutes.
let's say 60=100 for a total of 100 equaling 1 hour.
Therefore, 100+45= 145
susan ate 3/8 of a pan of brownies. Which decimal represents the amount of brownies left?
A 0.375
B 0.625
C 0.325
D 0.675
Answer:
B 0.625
Step-by-step explanation:
8/8-3/8=5/8
5/8=0.625
Answer:
B
Step-by-step explanation:
First you have to find how much 1/8 is as a decimal, which is 0.125. Multiply 0.125 by 3 to get 3/8 or add it 3 times which gives you 0.375. That knocks out 2 answers already A and C because it's asking how many brownies are left. You can either subtract 0.375 from 1 or you can do an easier way. .075 + 0.25 = 0.1, so it can't be D because it would be over 1 pan of brownies which leaves you with B. B is your answer.
People from two houses 9,000 feet apart are looking up at a plane that is BETWEEN them. House 1 is west of the plane has an angle of elevation of 17.5 degrees and house 2 is east of the plane and has an angle of elevation that is 18.8 degrees. How far is the plane from House 1?
The distance between the plane and house 1 is 4899.2 feet
How to determine the distance between the plane and house 1?See attachment for illustration of the question, where x represents the distance between the plane and house 1
Start by calculating the angle A using:
A = 180 - 17.5 - 18.8 ----- (angles in a triangle theorem)
This gives
A = 143.7
The distance x is then calculated using the following sine theorem
a/sin(A) = b/sin(B) = c/sin(C)
Using the parameters in the diagram, we have:
x/sin(18.8) = 9000/sin(143.7)
Multiply both sides by sin(18.8)
x= sin(18.8) * 9000/sin(143.7)
Evaluate
x = 4899.2
Hence, the distance between the plane and house 1 is 4899.2 feet
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g(x) = x3 + 6x2 + 12x + 8
A 2-column table with 5 rows. The first column is labeled g of x with entries negative 3, negative 2, 0, 2, 3. The second column is labeled f of x with entries negative 1, 0, 8, 64, 125.
Determine the function’s value when x = −1.
The value of the function g(x) = x^3 + 6x^2 + 12x + 8 when x = -1 is 1
How to evaluate the function?The equation of the function is given as:
g(x) = x^3 + 6x^2 + 12x + 8
When x = -1, we have:
g(-1) = (-1)^3 + 6(-1)^2 + 12(-1) + 8
Evaluate the expression
g(-1) = 1
Hence, the value of the function g(x) = x^3 + 6x^2 + 12x + 8 when x = -1 is 1
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Answer:
g(-1) = 1
Step-by-step explanation:
Savannah made ice cubes for a party. Each ice cube measured 20 mm by 20 mm by 20 mm. How much water was needed to make each cube?
2,000 millimeters cubed
2,400 millimeters cubed
6,000 millimeters cubed
8,000 millimeters cubed
The quantity of water was needed to make each cube given the dimensions of the cubes is 8,000 millimeters cubed
Volume of each ice cube?Length = 20 mmWidth = 20 mmHeight = 20 mmVolume of water to make each cube = 20 × 20 × 20
= 8,000 millimeters cubed
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write the equation for the graph
Answer:
y=x-4
Step-by-step explanation:
Writing this in slope-intercept form or y=mx+b.
y = y coordinate
m = slope
x = x coordinate
b = y intercept (where the line intercepts on the y axis)
The slope is 1 because it's moving up and if you move over 1 unit to the right, then 1 unit up, you would cross another point. The y-intercept is -4 because that's where the line intercepts the y-axis.
Hence, the equation would be y=x-4
Note: I did not have y=1x-4 because 1x is the same as x.
Write And equation of the parabola that has the same shape as the graph of f(x)=5x^2, but with (2,5) as the vertex
Answer:5*(x-2)^2 + 5
Step-by-step explanation:that would be the answer 5x^2-20x+25
A line has a slope of 5 and passes through the point (0, 3). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y=[ x +
Submit
Tutorial
Answer:
y=5x+3
Step-by-step explanation:
in slope-intercept form, y=mx+b, m is the slope and b is the y-intercept. Should the equation pass through (0,3) then the y-intercept is 3, as the y-intercept is where the equation touches the y-axis (when x = 0), and the slope, 5, was already given to us within the problem itself.
[HELP, DUE TOMORROW. WILL GIVE BRAINLIST] What do exponential functions model in the real world? How does the standard equation form of the exponential equation change in each situation?
Step-by-step explanation:
write the function in module in real where how does standard it's easy how do you have to do is think in your mind and there's follow like if it had some if it have some notes or something like that you could actually read it and then you can get ideas in your head and complete answers and you will get it
An equation of the form 7/8 = x/9 is called a/an_________
Answer:
Proportion.
Step-by-step explanation:
Sorry for the late answer! I hope this helps! :)
All tangents to the circle are congruent and form a square. the perimeter of square aceg is 24 cm. a circle is inscribed in square a c e g. points f, h, b, and d of the circle are on the sides of the square. what is the length of line segment bc? 2 cm 3 cm 6 cm 8 cm
The length of line segment bc is 3 cm. Thus, the correct option is B.
What is a perimeter?Perimeter is the sum of the length of the sides used to make the given figure.
Since ACEG is a square and the perimeter of the square is 24 cm, therefore, the length of the side of the square is 6 cm.
Now, since the circle is inscribed in the square, therefore, each side of the circle will be divided into two equal parts by the circle. Thus, the value of BC is half the length of the side of the square.
BC = AC /2 = 6cm /2 = 3 cm
Hence, the length of line segment bc is 3 cm. Thus, the correct option is B.
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Answer: B (3)
Step-by-step explanation:
When solved for c, the equation is c = k – 273.15 c = 273.15 – k c = k 273.15 c = 273.15k
The the equation K = C + 273.15 when solved for c is C = K - 273.15
Change of subject of formulaK = C + 273.15
subtract 273.15 from both sidesK - 273.15 = C
Therefore,
C = K - 273.15
Complete question:
The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation K = C + 273.15.
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Answer:
When solved for C, the equation is
C = K – 273.15
Step-by-step explanation:
1
Type the correct answer in each box. Use numerals instead of words.
The zeros of the function () = -(+1)(-3)(+2) are -1.3, and
Blank).
Reset
Next
and the y-intercept of the function is located at (0,blank
The zeros of the function f(x) = -(x + 1)(x - 3)(x + 2) are -1, 3, and -2, and the y-intercept of the function is located at (0,6)
The complete questionThe zeros of the function f(x) = -(x + 1)(x - 3)(x + 2) are –1, 3, and __and the y-intercept of the function is located at (0,__)
How to determine the zeros?The function is given as:
f(x) = -(x + 1)(x - 3)(x + 2)
Set the function to 0
-(x + 1)(x - 3)(x + 2) = 0
Divide both sides by - 1
(x + 1)(x - 3)(x + 2) = 0
Split
x + 1 = 0, x - 3 = 0 and x + 2 = 0
Solve for x
x = -1, x = 3 and x = -2
Hence, the zeros of the function f(x) = -(x + 1)(x - 3)(x + 2) are -1, 3, and -2
How to determine the y-intercept?The function is given as:
f(x) = -(x + 1)(x - 3)(x + 2)
Set x to 0
f(0) = -(0 + 1)(0 - 3)(0 + 2)
Evaluate
f(0) = 6
Hence, the y-intercept of the function is located at (0,6)
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What is the area of an equilateral triangle that has a perimeter of 36 centimeters? Round to the nearest square centimeter.
Answer:
(a is size of side of triangle)
the perimeter of equilateral triangle =3a
or, 36=3a
Thus, a = 13cm
area of equilateral triangle
=√3/4*(a^2 )
=√3/4*(13^2)
=73cm^2
Which statements about the graph of the function f(x):
2x²-x-6 are true?
Select two options.
Solve the inequality.
r + 4 - 2(r - 14) >0
r + 4 - 2r + 28 > 0
-r + 32 > 0
32 - r > 0
-r > -32
r < 32
2. Rewrite these numerals in words in Nepali as well as in International system. b) 831075280496
Answer:
eight hundred thirty-one billion seventy-five million two hundred eighty thousand four hundred ninety-six
Step-by-step explanation:
Helppp
f(x)=-x^2+6x-18
f(x)=−x
2
+6x−18
\text{Find }f(-3)
Find f(−3)
The equivalent value of the function is x is -3 is -45
Functions and valuesFunctions are written in terms of variables
Given the function shown
f(x)=-x^2+6x-18
In order to determine f(-3), we will substitute x = -3 into the function to have:
f(-3)=-(-3)^2+6(-3)-18
f(-3) = -9 - 18 - 18
f(-3) = -45
Hence the equivalent value of the function is x is -3 is -45
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Add the following values.
(2.1 × 1014) + (1.5 × 1012)
A.
2.1015 × 1014
B.
2.25 × 1012
C.
2.115 × 1014
D.
2.1015 × 1015
The sum of the numbers is 2.115 * 10^14
How to evaluate the sum?The sum expression is given as:
(2.1 × 10^14) + (1.5 × 10^12)
Express 1.5 as 0.015 * 10^2
(2.1 × 10^14) + (0.015 * 10^2 × 10^12)
Evaluate the product
(2.1 × 10^14) + (0.015 * 10^14)
Factor out 10^14
10^14 *(2.1 + 0.015)
Evaluate the sum
10^14 * 2.115
Rewrite as:
2.115 * 10^14
Hence, the sum of the numbers is 2.115 * 10^14
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Make same exponent
(2.1×10¹⁴)+(0.015×10¹⁴)Use distributive law ab+ac=a(b+c)
(2.1+0.015)×10¹⁴2.115×10¹⁴Option C
HELP PLEASE ILL GIVE BRANLIEST
Answer:
200
Step-by-step explanation:
i'm not sure about it, try it i guess
Can someone help me with this question ?
Answer:
it is median
Step-by-step explanation:
because it have number in alphabetic order
can someone please help me in finding the range
Answer:
[tex]\{-20, -2 ,13\}[/tex]
Step-by-step explanation:
The range of a function is the set of its possible output values
[tex]f(x) = 3x-8\\\\f(-4) = 3(-4) -8 = -12 -8 = -20\\\\f(2) = 3(2) -8 =6-8 = -2\\ \\f(7) = 3(7) -8 = 21 -8 = 13\\\\\text{Range} = \{-20, -2 ,13\}[/tex]
25 Points!
Please Answer the Following Questions About this Chart,
What is the Least Value?
What is the value of Q1?
What is the Median?
What is the value of Q3?
What is the Greatest Value?
The least value is 1, the greatest value is 7, and the median is 2.
How to calculate the median?From the information given, the number of dogs is 7, cats are 5, parrots are 2, hamsters are 2, fish is 1, pig is 2 while turtle is 0.
The median is the number in the middle when the numbers are arranged in ascending or descending order. The numbers will be 0, 1, 2, 2, 2, 5, 7. Therefore, the median is 2.
Also, by looking at the picture attached, the least value is 1, the greatest value is 7.
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According to the ilo, how many people are working by force or under coercion? a. 123,000 b. 1.23 million c. 12.3 million d. 123 million
The number of people are working by force or under coercion stands at about 12.3 million.
What is the ILO?The ILO is the acronym for International Labor Organization. It is the arm of the United Nations that is responsible for seeing to the Welfare of workers globally.
According to current statistics from the International Labor Organization, the number of people are working by force or under coercion stands at about 12.3 million.
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Answer:
c. 12.3 million
got it right on edge)))
In circle O, and are diameters. The measure of arc DC is 50°.
Circle O is shown. Line segments A C and E B are diameters. Line segment O D is a radii. Point D is between points E and C. Angle B O D is 90 degrees.
What is the measure of Arc E B C?
40°
90°
140°
220°
A circle is a curve sketched out by a point moving in a plane. The measure of Arc EBC is 220°.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.
Since in the given circle EB is the diameter, therefore, the measure of ∠EOB will be 180°.
Given the measure of ∠BOD is 90°, while the measure of arc DC is 50°. Therefore, the measure of ∠COD is 40°.
Thus, the measure of Arc EBC is the sum of ∠EOD and ∠COD, therefore, the measure of the Arc EBC is 220°
Hence, the measure of Arc EBC is 220°.
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Answer: D
Step-by-step explanation:
In scientific notation, 8,700 is written:
8.7 x (10 1)
8.7 x (10 2)
8.7 x (10 3)
8.7 x (10 4)
The number 8700 written in scientific notation is 8.7 * 10^3
How to express the number in scientific notation?The number is given as:
Number = 8700
The scientific notation is represented as:
a * 10^b
Where a is between 1 and 10 and b is an integer representing the number of zeros
So, we have:
8700 = 87 * 10^2
Express 87 as 8.7 * 10
8700 = 8.7 * 10* 10^2
Evaluate
8700 = 8.7 * 10^3
Hence, the number 8700 written in scientific notation is 8.7 * 10^3
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an outfielder throws a ball to home plate. the balls path is modeled by the graph of y=x/5-x^2/1000 where x represents the horizontal distance of the ball from the outfield and y represents the balls vertical distance above the ground. what are the coordinates of vertex of the ball's path?
The coordinates of the vertex for the quadratic function are given as follows: (100,10).
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]In this problem, the function is given as follows:
y = -x²/1000 + x/5
y = -0.001x² + 0.2x.
Hence the coefficients are a = -0.001, b = 0.2, c = 0 and the coordinates of the vertex are given as follows:
[tex]x_v = -\frac{0.2}{2(-0.001)} = 100[/tex][tex]y_v = -\frac{(0.2)^2}{4(-0.001)} = 10[/tex]More can be learned about the vertex of a quadratic function at https://brainly.com/question/24737967
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Use the interactive protractor to determine the measure of the angle. What is mAngleJHG?
To calculate the angle's size, use the interactive protractor. The angle JHG will be measured at 115°. Option D is correct.
What is angle measurement?An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).
The angle ∠JHG is found as;
∠JHG = 180°-65°
∠JHG = 115°
The measure of the angle ∠JHG will be 115°.
Hence, option D is correct.
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Answer: 110
Step-by-step explanation: i put 115 and it was wrong , it turned out to be 110
A rectangle is rotated 360 around the y axis. What figure will this rotation create?
rectangular prism
rectangular pyramid
cylinder
cone
When a rectangle is rotated in any axis or a line, the figure created by the rotation is a cylinder.
What figure will give if rectangle is rotated 360 around the y axis?A rectangle is an example of a shape with rotation symmetry. A rectangle can be rotated about its center and it will look exactly the same and be in the same location. The only difference is the location of the named points.
The shape created is a cylinder. Its height will be equal to the length of the side parallel to the axis-of-rotation. Its diameter will be equal to the length of the side perpendicular to the axis-of-rotation.
According to the question
A rectangle is rotated 360 around the y axis.
When a rectangle is rotated in any axis or a line, the figure created by the rotation is a cylinder.
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