Check to see if there is a constant rate of change to determine if a table of values represents a linear function. You're looking at a linear function if there is! You can learn how to determine whether a table of values represents a linear function in this tutorial.
Two linear equations are what?If an equation is written in the form axe + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables. Examples of two-variable linear equations are 10x+4y = 3 and -x+5y = 2.
Which two types of equations are there?Identities and conditional equations are the two types of equations.
To know more about linear function visit:-
brainly.com/question/20286983
#SPJ1
Suppose a ball was dropped from a TV tower 2120 feet high. The time it takes an object to free-fall from the top of this tower to the ground can be represented by the equation s = -16t^2 + 2120, where s is the distance from the ground in feet and t is the time in seconds. Approximately how long will it take the object to reach the ground?
If a ball is dropped from 2120 feet, it will take approximately_________ seconds to reach the ground.
The time taken by the ball to reach the ground is 11.5 seconds.
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.
Suppose a ball was dropped from a TV tower 2120 feet high. The time it takes an object to free-fall from the top of this tower to the ground can be represented by the equation s = -16t² + 2120.
The time will be calculated as,
s = -16t² + 2120
Equate with zero as the ball reaches the ground the height s becomes zero.
-16t² + 2120 = 0
-16t² = -2120
t² = 2120 / 16
t² = 132.5
t = √132.5
t = 11.5 seconds
To know more about an expression follow
https://brainly.com/question/28865779
#SPJ1
rewrite the following ratios in simplest form
Answer:
in Step-by-step explanation
Step-by-step explanation:
9)
60/40 = divide both side by 10
6/4 = divide both side by 2
3/2
10)
28/63 = divide both side by 7
4/9
11)
45/120 = divide both side by 15
3/8
What is 3 with an exponent of 0?
When a number has an exponent of 0, it means that the number is being multiplied by itself 0 times. In other words, it is multiplied by 1.
To determine this:
In the case of 3 with an exponent of 0, it would be represented as 3^0. To calculate the value, we would take 3 and multiply it by 0 times.
3 x 1 = 3
So, 3 with an exponent of 0 is equal to 3.
It is important to note that any number with an exponent of 0 will always equal 1, except for 0 which will always be 0. This is because any number multiplied by 1 is itself, and 0 multiplied by any number is always 0.
To learn more about the multiply, visit:
brainly.com/question/23536361
#SPJ4
A spherical balloon has a radius of 15cm. Air is added to the balloon until it's surface area
increases by 500 cm². What would be the new diameter of the balloon after the air is added?
The new diameter of the sphere after the air is added is 32.6cm
What is surface area of a sphere?A sphere is a solid figure bounded by a curved surface such that every point on the surface is the same distance from the centre.The Surface Area of Sphere is 4πr², where r is the radius of sphere.
The original surface area when air is not added. is :
A = 4×3.14×15²
A = 2826cm²
When air is added, the surface area increased by 500cm². Therefore the new surface area = 2826+500 =3326cm²
To find the new radius of the sphere
3326 = 4×3.14× r²
r² = 3326/12.56
r² = 265
r = √265
r = 16.3
the diameter of the balloon after the air is added = 2r = 2× 16.3 = 32.6 cm
learn more about surface area of a sphere from
https://brainly.com/question/1293273
#SPJ1
If 750ml of paint covers an area of 12 m2, what area (in m2) will 1.6 litres of paint cover?
Answer: To find the area that 1.6 litres of paint will cover, we can use the unit rate. The unit rate is a way to compare different quantities by finding how much of one quantity corresponds to one unit of another quantity.
We know that 750ml of paint covers an area of 12 m2, this means that the unit rate of paint:area is 750ml:12m^2
We can use this to find the area that 1.6 litres of paint will cover.
First we should convert the 1.6 litres of paint to milliliters, since we have the unit rate in ml:
1.6 litres = 1.6*1000 ml = 1600 ml
Now we can use the unit rate to find the area that 1.6 litres of paint will cover:
Area = (1600 ml paint) * (12 m2/750ml paint) = 21.333 m2
So, 1.6 litres of paint will cover approximately 21.333 m^2
Note that you could also use the proportion (750ml/12m^2) = (1600ml/x) to find the value of x.
Step-by-step explanation:
What is 4x5 ratio in pixels?
The 4:5 ratio in terms of pixels is nothing but the measure of 1080×1350 pixels in an image of the video.
A colon separates two numbers that represent the width-to-height proportion of an image or video. This proportion or ratio is referred to as the aspect ratio. In terms of height and width, it shows how wide the size is. It makes sure the videos or images are presented without stretching or resolution loss.
The resolution in pixels for the aspect ratio 4x5 or 4:5 is 864 x 1080 or 1080 x 1350 pixels. This establishes how many pixels are present in an image's or video's width and height. The most popular pixel ratio is this one.
To know more about pixels:
https://brainly.com/question/28430816
#SPJ4
Find the probability using the normal distribution. Use a graphing calculator and round the answer to four decimal places. P(0 < z < 2.18)- Find the area under the standard normal distribution curve to the left of z-1.34 and to the right ofz -2.13. Use a graphing calculator and round the answer to four decimal places. The area is
The probability of 0 < z < 2.18 is 0.9945, rounded to four decimal places.
1. To find the probability, we first need to calculate the area under the standard normal distribution curve to the left of z = 1.34 and to the right of z = 2.13.
2. To do this, we can use the graphing calculator to plot the standard normal distribution curve.
3. Then, we can calculate the area under the curve to the left of z = 1.34 by subtracting the area under the curve to the left of z = 2.13 from the total area under the curve.
4. Finally, we can round the answer to four decimal places to get the probability of 0.9945.
The probability of 0 < z < 2.18 is 0.9945, rounded to four decimal places.
Learn more about probability here
https://brainly.com/question/11234923
#SPJ4
What are the values for the coefficients and constant term of 0 2 3x² 5x?
The expression's coefficients have values of 3 and -5, and the constant term has a value of 2.
The formula is 0 = 2 + 3x² - 5x.
We obtain = 3x² - 5x + 2 = 0 by arranging the equation in the form of the general equation ax2 + bx + c = 0.
The leading coefficient is a, the intermediate term's coefficient is b, and the constant term is c.
We may locate the equation's roots or the parabola's vertex by knowing the values of a, b, and c.
After comparing the equation to the general equation, the coefficient and constant term values are as follows.
A = 3
B = -5
C = 2
So, now both the polynomial and the coefficients are available.
To know more about polynomial, visit,
https://brainly.com/question/2833285
#SPJ4
The range of the function f(x)=[x+3]-5 is
A) [-5,∞)
B) (-5,∞)
C) [3,∞)
D) (3,∞)
The range of a function is the set of all possible outputs (y-values) for a given input (x-value).
Given the function f(x) = [x+3]-5, we can see that the function first adds 3 to x and then subtracts 5. The square bracket notation around (x+3) indicates that the function is taking the greatest integer less than or equal to (x+3).
For any input x, the output of the function will always be the greatest integer less than or equal to (x+3) - 5. Therefore, the output of the function is always an integer less than or equal to -2.
So the range of the function is [-5, -2] U (-2, ∞)
Option A) [-5,∞) is incorrect as the range starts with -5 but the function output is always less than or equal to -2.
Option B) (-5,∞) is incorrect as the function output is always less than or equal to -2.
Option C) [3,∞) is incorrect as the function output is always less than or equal to -2.
Option D) (3,∞) is incorrect as the function output is always less than or equal to -2.
The correct answer is (-2, ∞)
What kind of slope does y 10 have?
The slope of line y = 10 is zero.
We know that the slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate.
It describes the steepness of a line.
The slope of x - axis.
m = 0
As for x-axis the change in y-coordinate is zero.
So, by definition of slope,
m = 0/(change in x coordinate)
m = 0
We know that the slopes of parallel lines are equal.
A line y = 10 is parallel to x-axis
So, the slope of line y = 10 is zero.
i.e., the line y = 10 has zero steepness.
Learn more about the slope here:
https://brainly.com/question/16180119
#SPJ4
Keith caught a fish that measured 20 inches. Jeremy caught a fish that measured 19 inches. How many inches longer was Keith’s fish than Jeremy’s?
Answer:
1 inch
Step-by-step explanation:
It's 1 inch because you minus 20 inch by 19 inch and get 1 inch
braylon had 75% of all baseball cards ever made bob's publishing company. if he has 960 cards, how many had bob's publishing company made?
Answer:1280
Step-by-step explanation:
75% of something is 960 you can use trial and error to find the amount by just doing 75% of a number a little higher than what you got
Please answer this question and I will give you a brainlist!
Answer:
I think it's (4,4) but I could be wrong
Step-by-step explanation:
What causes eye dilation?
Light and emotional variables are affected by eye dilation. Under typical conditions, pupils are meant to dilate as a result of changes in lighting and psychological factors.
Why do your pupils continue to dilate?A physical or psychological condition, certain substances or prescriptions, or an injury could be the cause of this. The term "blown pupil" is occasionally used by doctors to describe more severe mydriasis when the pupils are fixed and dilated. This disorder may be a sign of brain damage brought on by a stroke or other physical trauma.Light and emotional variables are affected by eye dilation. Under typical conditions, pupils are meant to dilate as a result of changes in lighting and psychological factors.Under typical conditions, pupils are meant to dilate as a result of changes in lighting and psychological factors. A dilated pupil will typically return to its normal size on its own.To learn more about eye dilation refer to:
https://brainly.com/question/13505781
#SPJ4
what is the equation of the line shown in the graph?
Note that the line is a horizontal line, passing through the point (0, 1) in the y-axis.
All points of this line have 1 as their y-coordinate. That is, this line contains points like (-3, 1), (-1, 1), (5, 1), (17, 1)... etc.
Thus, this is the line where y is always 1, this is the line y=1.
What is horizontal line?A horizontal line is a sleeping line. It is a straight line that goes from left to right or right to left. The word horizontal is derived from the word “horizon”, which is the line where the earth and sky appear to be meeting far far away. A horizontal line is a straight line that is parallel to the x-axis and where all the points on the line have the same y-coordinate.Horizontal line is a straight line that is mapped from left to right, whereas the vertical is a straight line that is mapped from top to bottom. In coordinate geometry, the line parallel to the x-axis is called horizontal line and the line which is parallel to the y-axis is called vertical line.To learn more about vertical line refer to:
https://brainly.com/question/1821791
#SPJ1
Each and every point along this line has a y-coordinate of 1. This line has points like (-3, 1), (-1, 1), and (5, 1), for example (17, 1).
What is meant by equation of the line?The formula for these lines is y = mx + b, where m denotes the slope and b the y-intercept.
A sleeping line is a line that is horizontal. From left to right or right to left, it is a straight line. The word "horizon," which refers to the line where it appears that the earth and sky are meeting in the distance, is the ancestor of the word "horizontal." A horizontal line is a straight line that is perpendicular to the x-axis and contains points with identical y-coordinates throughout.
Vertical lines are straight lines that are mapped from top to bottom, whereas horizontal lines are straight lines that are mapped from left to right. In coordinate geometry, the horizontal line is the line parallel to the x-axis, while the vertical line is the line parallel to the y-axis.
To learn more about equation of the line refer to:
https://brainly.com/question/18831322
#SPJ1
i need help asap!! ANYONE?? I HAVENT DONT THIS IS LIKE a year
Answer: 5 or -5
Step-by-step explanation:
Since a^2+b^2=c^2 is the Pythagorean theorem, you need to plug in a=3 and b=4 into the equation. 3^2+4^2=c^2. Simplify the left side of the equation first. 3^2 is 9 and 4^2 is 16. 9+16=25. So, 25=c^2. Take the root of this and the square root of 25 is -5 or 5 interchangeably.
Give the first five terms of the sequence:
2/5,A₂ =4/5; ªn‚ = ª,-2 (for n ≥ 3)
Answer: 2/5, 4/5, -4/5, 8/5, -16/5
I dunno that's what I got I could be wrong
Brayden i earning money for a charity by walking lap around a track. He walk 2 1/2 lap each day for 7 day for 7 day. Hi goal i 16 lap. If he walk 16 lap or more, he earn $2 per lap. If he walk le than 16 lap, he earn $1 per lap
Brayden's total earning by walking lap around a track is $35, if he walks 2+1/2 = 5/2 laps per day for 7 days.
Per day walking of brayden = 5/2 laps
7 days walking of brayden = 5/2 × 7 = 35/2 laps
As per the question statement he earns $1 per lap if he walk less than 16 laps and $2 per lap if hi walks 16 or more lap. Since the total walking of brayden is more than 16 laps, so he will earn at the rate of $2 per lap. So total earning will be,
= 2× 35/2
= $35
To know more about earning, here
https://brainly.com/question/21219294
#SPJ4
What is ¾ divided by 4?
The solution to this ¾ divided by 4 is 0.1875.
To visualize the question we are trying to solve, let's put 3/4 and 4 side-by-side so it's easier to see:
3/4÷4
The numbers in 3/4 divided by 4 are labeled below:
3 = numerator
4 = denominator
4 = whole number
All we need to do here is keep the numerator exactly the same (3) and multiply the denominator by the whole number:
3/4 x4= 3/16.
Once you have your final fraction, just divide the numerator by the denominator to get your answer in decimal form:
3/16=0.1875
To know more about dividend rules:
https://brainly.com/question/22127909
#SPJ4
Sue ha 20 bicuit in a tin. There are: 12 plain bicuit
5 chocolate bicuit
3 currant bicuit
Sue take two random bicuit from the tin. Work out the probability that the two bicuit are not the ame type
So, the probability that the two biscuits are not the same type is 0.15 or 15%.
To find the probability that the two biscuits are not the same type, we need to calculate the probability that Sue takes one biscuit of each type.
First, we will calculate the probability that Sue takes one plain biscuit, one chocolate biscuit, and one currant biscuit.
The probability of Sue taking one plain biscuit is 12/20, since there are 12 plain biscuits out of a total of 20.
The probability of Sue taking one chocolate biscuit after taking a plain biscuit is 5/19, since there are now 5 chocolate biscuits out of 19 remaining.
The probability of Sue taking one currant biscuit after taking a plain and chocolate biscuit is 3/18, since there are now 3 currant biscuits out of 18 remaining.
To find the overall probability that Sue takes one biscuit of each type, we multiply the individual probabilities together:
P = (12/20) * (5/19) * (3/18) = 0.15
So, the probability that the two biscuits are not the same type is 0.15 or 15%.
To learn more about Probability
visit; brainly.com/question/30034780
#SPJ4
geometry rotations image
The reflection in the line y = x, followed by a reflection in the x-axis transformation that maps the preimage to the image.
What is the transformation?
Transformations are changes done in the shapes on a coordinate plane by rotation, reflection, or translation. A function, f, that maps to itself are called the transformation, i.e., f: X → X. The pre-image X becomes the image X after the transformation. This transformation can be any or combination of operations like translation, rotation, reflection, and dilation.
In geometry, transformation involves changing the position and/or size of a shape.
The transformation that maps the pre-image to the image is dilation
From the given diagram
We can see that the size of and are not the same.
When the No change in size or shape or orientation and Flips the pre-image and produces the mirror-image, then the transformation type is Reflection.
Hence, the reflection in the line y = x, followed by a reflection in the x-axis transformation that maps the preimage to the image.
To learn more about the transformation visit,
https://brainly.com/question/27895117
#SPJ1
Use the distributive
property to write an
expression
that is
equivalent
to 32 + 4r.
Answer:
4 (8+r)
Step-by-step explanation:
For a given recipe, 3 cups of flour are mixed with 9 cups of sugar. How many cups of flour should be used if 63 cups of sugar are used?
Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x.
Answer:
Use direct variation method of mathematics
How do you draw a triangle with 7cm 5cm and 4cm?
ΔABC is the required triangle in which AB = 4 cm, BC = 7 cm and AC = 5 cm.
To see the attachment.
Now, According to the question:
Let us assume that given sides are :
BC = 7 cm, AB = 4 cm and AC = 5 cm
Steps of construction
Step I Draw a line BC = 7 cm.
Step II With center B and radius 4 cm draw an arc.
Step III With center C and radius 5 cm, draw an arc which cuts the previous arc at A.
Step IV Join AB and AC.
Hence, ΔABC is the required triangle in which AB = 4 cm, BC = 7 cm and AC = 5 cm.
Learn more about Triangle at:
https://brainly.com/question/2773823
#SPJ4
What is the value of x in X² 9?
The value of x in the given equation x² = 9 is x = ± 3.
In x² = 9, we need to remove the power of 2 in order to separate just x.
This implies finding the square root √x² which is equal to x.
However, there are 2 possible answers to any square root, a positive or a negative answer.
x = √9
x = ± 3
0r we can solve this equation by the splitting method.
Rearrange the equation
x² = 9
(x - 3)(x + 3) = 0
On solving, we get
x = +3 and x = -3
To know more about splitting method, here
https://brainly.com/question/17229992
#SPJ4
y = what to 48 from 180
What are the 4 quadrants in order?
The 4 (four) quadrants in order are: Quadrant I, Quadrant II, Quadrant III, and Quadrant IV.
A coordinate plane is divided into four sections called quadrants. These quadrants are numbered I, II, III, and IV in a counterclockwise direction, starting with the top right.
Quadrant I is the top right section of the coordinate plane, and it contains all the points where the x-coordinate and y-coordinate are positive.
Quadrant II is the top left section of the coordinate plane, and it contains all the points where the x-coordinate is negative and the y-coordinate is positive.
Quadrant III is the bottom left section of the coordinate plane, and it contains all the points where the x-coordinate and y-coordinate are negative.
Quadrant IV is the bottom right section of the coordinate plane, and it contains all the points where the x-coordinate is positive and the y-coordinate is negative.
Understanding this concept is important for solving mathematical problems, especially in algebra and geometry.
Learn more about quadrants here:
https://brainly.com/question/28587485
#SPJ4
What is the value of x? there are two triangles, triangle abc and triangle def. Side ab is congruent to side de, side ac is congruent to side df. Angle cab is congruent to angle fde. The length of the side bc is (x-4).
There are two triangles, triangle abc and triangle def. Side ab is congruent to side de, side ac is congruent to side df. Angle cab is congruent to angle fde. The length of the side bc is (x-4). The value of x is 23.
The value of x can be calculate as follows:
Given that the triangles are congruent and moreover
Considering that
AB = DE
AC = DF
so,
The third will be compatible as well.
so,
BC = AE
x - 4 = 19
x = 19 + 4
x = 23
Therefore , the value of x is 23. When there are two triangles, triangle abc and triangle def. Side ab is congruent to side de, side ac is congruent to side df. Angle cab is congruent to angle fde. The length of the side bc is (x-4).
Learn more about triangle at https://brainly.com/question/29185932
#SPJ4
Non -examples of the property 0
When we multiply any number by zero, the outcome is always a zero, according to the definition of the zero property of multiplication, examples as 8 x 0 = 0.
What is zero property?When we multiply any number by zero, the end result is always a zero, according to the definition of the zero property of multiplication. Zero need not always be the first or second number. When multiplied by another number, it could be anywhere. This indicates that the outcome of the multiplication is unaffected by the placement of the digit zero.
All different kinds of numbers fall under the umbrella of this property. They could be fractional, decimal, or integer numbers. Thus, the results of some such numbers will be as follows:
10 x 0 = 0 6.4 x 0 = 0
½ x 0 = 0 1 x 2 x 3 = 0
A non-example of property 0 is: 5 × 1 = 5, the number is not multiplied by 0, therefore, it does not denote the zero property of multiplication.
Learn more about zero property visit:
brainly.com/question/11119377
#SPJ1
Compete question is: Give non-example of the property 0.
Pablo shares his birthday cake with a friend. Pablo eats 3/8 and his friend eats 1/4. How much of the cake was left over? (Represent your answer as a fraction)
Answer:3/8 was left over
Step-by-step explanation: 3/8 plus 1/4 x 2 equals 5/8... remainder 3/8
Answer:
3/8 (this is the answer)