Kayla claims that the absolute value of a number is always greater than the number itself. Which statement about her claim is true? Kayla is correct. Any positive number is greater than a negative, and absolute value of a number is always positive. Kayla is correct. The distance between 0 and a number is always more than the number. Kayla is incorrect. The absolute value of a positive number is negative, and negative numbers are less than positive numbers. Kayla is incorrect. The absolute value of 0 or a positive number is equal to the number.
Solution:
The Claim that Kayla has made that absolute value of a number is always greater than the number itself is not true.
The correct statement should be, :
The Absolute value of a number is always greater than or equal to the number itself is a true statement.
Symbolically, | x | ≥ x , if x is a real number.→→True statement
Out of four options, given
Option(D)→ The Claim made by Kayla is incorrect.As, The absolute value of 0 or a positive number is equal to the number.
A certain sequence is defined such that the th term in the sequence is equal to n n how much greater is the 10th term th term in the sequence?
Treat this like a function question, only instead of f(n) = n^2 + 1, you’re told that the nth term equals n^2 + 1. Different language, same exact result:
The 7th term will be 7^2 + 1 = 50, and the 10th term will be 10^2 + 1 = 101. 101 is 51 greater than 50.
Final answer:
To find how much greater the 10th term is compared to the nth term in a sequence, we need the sequence's rule. Assuming the rule is n^2, the 10th term is 10^2. The difference would be 10^2 - n^2, but without the value for n or a clear sequence definition, the numerical difference remains unknown.
Explanation:
The question appears to be asking for the 10th and nth terms of a defined sequence, but there seems to be a typo or missing information specifying the rule for the sequence. To find how much greater the 10th term is compared to the nth term, we would first need the explicit formula for the sequence. If the sequence is defined such that the nth term is n2, then the 10th term would be 102, and the nth term would be n2. The difference between the two terms is then 102 - n2. Without the value for n or a proper sequence definition, we cannot find the actual numerical difference.
Find the side length of a square with the same perimeter as a equilateral triangle with side 7 cm.
Final answer:
The side length of a square with the same perimeter as an equilateral triangle with side 7 cm is 5.25 cm.
Explanation:
To find the side length of a square with the same perimeter as an equilateral triangle with sides of 7 cm, first calculate the perimeter of the triangle, which is 7 cm x 3 = 21 cm. Since a square has four equal sides, divide the perimeter by 4 to get the side length of the square. Thus, the side length would be 21 cm ÷ 4 = 5.25 cm.
Write a polynomial function in factored form with zeros at −2, 0, and 3.
PLEASE HELP!!!!!!!!!!! 35 POINTS
Please solve the following inequality, showing all work and then list 3 numbers that are in the solution set.
-4x – 3 < 29
-4x-3<29
-4x-3+3<29+3
-4x<32
-4x/-4<32/-4
X<-8
Find the missing angles: you may have to find missing angles that are not labeled.
Step-by-step explanation:
f = 50 (parallel lines)
180 - 50 = a (angle sum of straight line)
a = 130
50 + 75 + b = 180 (angle sum of triangle)
125 + b = 180
b = 180 - 125
= 55
c = 55 (vertically opposite angles)
e = 55 (alternate angles)
d= 180 - 55 (angle sum of straight line)
= 125
Let the random variable x denote the natural numbers selected at random from one to one hundred. find the mean of x.
What is the perimeter of a rectangle if the length of the short sides are 5", and the other sides are both y?
perimeter = 2L +2W
perimeter = 2Y +2(5)
perimeter = 2y+10
How do you write this number in standard form
15,000+7000+400+9
HELP ME PLS!!
The function graphed shows the total cost for a taxi cab ride for x miles.
Select from the drop-down menus to correctly identify the taxi cab ride information provided by the graph.
The slope is
5, 3, 2.5, 0.2
The slope represents
1)the total cost of the taxi ride
2)the total number of miles traveled
3)the cost per miles traveled
4)the initial cost of the ride
The slope of the line between cost of taxi and distance is 2.5 and it represents the cost of taxi per mile of distance travelled.
What is slope of line ?
Slope of line is the angle made by the line from positive x-axis in anticlockwise direction, it also denoted the steepness of the line.
The function graphed shows the total cost for a taxi cab ride for x miles the cost in taxi is shown in y axis and the distance covered by taxi in x axis. Now, to find put the slope we must two coordinates which can be found out from the graph easy by observation as (0,3) and (2,8).
How using slope formula to find the slope of line :
[tex]\begin{aligned}\frac{y_{2}-y_{1}}{x_{2}-x_{1}}&=\frac{8-3}{2-0}\\&=\frac{5}{2}\\&=2.5\end{aligned}[/tex]
It represents the cost of taxi per mile of distance travelled.
Therefore, the slope of the line between cost of taxi and distance is 2.5 and it represents the cost of taxi per mile of distance travelled.
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Which of the following is a function equivalent to f(x) = 5(1.9)3x?
f(x) = 34.29x
f(x) = 5(6.86x)
f(x) = 5(6.86)x
f(x) = 328.51x
The function equivalent to f(x) = 5(1.9)3x is f(x) = 5(6.86)x.
Explanation:The function equivalent to f(x) = 5(1.9)3x is f(x) = 5(6.86)x.
The noise rating of an air conditioner is 50 decibels, and the noise rating of a washing machine is 65 decibels. Determine how many time greater the washing machine's intensity of sound is.
Use the formula , β = 10log I/I 0 where β is the sound level in decibels, I is the intensity of sound you are measuring, and Io is the smallest sound intensity that can be heard by the human ear (roughly equal to 1 x 10^-12 watts/m2).
The washing machine's intensity of sound is (blank) times greater than that of the air conditioner.
Answer:
the answer is 31.6 on PLATO
A motorboat takes 4 hours to travel 128 mi going upstream. the return trip takes 2 hours going downstream. what is the rate of the boat in still water and what is the rate of the current
Is the point (−7,1) a solution to the inequality
y < 0.5x + 9 ?
Question 1 options:
True
False
The given point (−7,1) is a solution to the inequality.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We must determine if the inequality holds for a certain set of ordered pairs in order to determine which ordered pairs constitute the answer to the inequality.
We have been given inequality is:
⇒ y < 0.5x + 9
To determine the point (−7,1) a solution to the inequality
Substitute x = -7 and y = 1 in the inequality, we get
⇒ y < 0.5x + 9
⇒ 1 < 0.5(-7) + 9
⇒ 1 < -3.5 + 9
Apply the subtraction operation in the above inequality, we get
⇒ 1 < 5.5
This is true.
Hence, the given point (−7,1) is a solution to the inequality.
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1. Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the following inequality:
y < two thirdsx + 2
The origin is not included in the shaded region and the shaded area is above the line.
The origin is not included in the shaded region and the shaded area is below the line.
The origin is included in the shaded region and the shaded area is above the line.
The origin is included in the shaded region and the shaded area is below the line.
A student’s construction of the perpendicular bisector of is shown below. What is the student’s error?
If Michelle walked 5 meters how many inches did she walk
∠1 is a complement of ∠4, and m∠1=33∘m. Find m∠4.
A triangle with sides of lengths 16, 30, and 35 is a right triangle. A.True B.False
You purchased a shirt on sale for $17.55. The discount on the shirt was $5.85. What was the original price of the shirt?
Which equation best models the scenario above?
x + 5.85 = 17.55
x - 5.85 = 17.55
x + 17.55 = 5.85
x - 17.55 = 5.85
The original price of the shirt is simply the sum of the purchased price and the discount price, that is:
original price = $17.55 + $5.85
original price = $23.40
The equation that best model this scenario is:
x - 5.85 = 17.55
where x is the original price
The sum of two numbers is 62 . the larger number is 22 more than the smaller number. what are the numbers?
Kevin earns $15 per hour for working 8 hours then he earns $18 per hour for working overtime for 4 hours a day what is the average time he works
Darnell needs to raise $176 to buy his favorite bicycle. he has $49 in the bank and his mother told him she would pay him $12 to mow the yard. if he continues to get $12 for each lawn he mows, how many yards will he have to mow, including his mother's, to be able to buy the bike?
9+7r>r–3≥7r+3
Gonna' have to spam this and make it more points, PLEASEEE!, ALSO GONNA' TALK IN ALL CAPS FOR BETTER UNDERSTANDING!
Solve the system by substitution, show all steps.
-x-y-z=-8
-4+4y+5z=7
2x+2z=4
Answer:
In Point Form: (x,y,z)= (3,6,-1)
In Equation Form: x=3, y=6, z=-1
Step-by-step explanation:
1) Solve for x
2x+2z=4 (Subtract 2z from both sides)
-2z -2z
2x= 4-2z (Divide 2 from both sides)
/2 /2
x=2-z
2) Substitute 2-z for x in
-x-y-z=-8
-(2-z)-y-z=-8
-2+z-y-z=-8 (Combine Like Terms)
-2-y=-8 (Add 2 to both sides)
+2 +2
-y=-6 (Divide -1 from both sides)
/-1 /-1
y=6
3) Substitute 2-z for x & 6 for y in
-4x+4y+5z+=7
-4(2-z)+4(6)+5z=7 (Get rid of parentheses)
-8+4z+24+5z=7 (Combine Like Terms)
9z+16=7 (Subtract 16 from both sides)
-16 -16
9z+=-9 (Divide 9 from both sides)
/9 /9
z=-1
4) Now find x by substituting -1 for z in
x=2-z
x=2-(-1)
x=2+1
x=3
Therefore the answer is:
In Point Form: (x,y,z)= (3,6,-1)
In Equation Form: x=3, y=6, z=-1
Which form details how much money an employer has withheld for taxes? w-2 a-5 t-10 m-9?
Answer:
The answer is W-2 form.
Step-by-step explanation:
The answer will be the W-2 Form.
The W-2 form is basically a wage and tax statement. This form is sent by an employer to his employees and to IRS at each year end.
This form tells about the employee's annual wages and the amount of taxes withheld from his paychecks.
If two fair dice are rolled 10 times, what is the probability of at least one 6 (on either die) in exactly five of these 10 rolls?
Which of the following is the absolute value parent function
Answer: Option B |x| and Option C |x|-1
Explanation:
Absolute function is the function that gives the positive value of any variable even of negative variable.
For example if -1 is operated under absolute function that is |-1| gives the value 1
Option A is incorrect because [tex]\frac{1}{x}[/tex] is not written under the denotion of absolute function.
if we say 'x' is an absolute function it will be denoted by |x|.
Option D is incorrect again because it is not written under the denotion of absolute function.
Absolute function or modulus function is same .
How do I solve this??
Find the value of x and y.
A. X=73.3, Y=15.3
B. X=73.3, Y=20.7
C. X=100, Y=10
D. X=100, Y=26
Thank You!