True.
Given the statement 'If the distance from 0 to x on a number line is greater than 5, then -5+x is positive' is True.
For the given question,
The distance from 0 to x on a number line is greater than 5
We write the above statement in mathematical expression form as,
⇒ |x - 0| > 5
⇒ |x| > 5
⇒ x > 5
We need to determine the value of an expression -5 + x
From (1),
⇒ x > 5
Subtract -5 from both sides,
⇒ -5 + x = -5 + 5
⇒ -5 + x > 0
From the above expression, we observe that the value of the expression is always greater than 1.
This means the value of an expression -5 + x is positive.
Therefore, the given statement 'If the distance from 0 to x on a number line is greater than 5, then -5+x is positive' is True.
In mathematics, a number line can be described as a figure that symbolizes numbers on a consecutive line. The digits on a number line are positioned successively with equal spacing along its length. It can be infinitely expanded in any direction and is often depicted horizontally.
Absolute value is the distance between a digit and zero on a number line. Since the space is forever positive, the absolute value will always be positive.
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Please answer the question in the photo ( will mark brainliest if correct )
Answer:
Step-by-step explanation:
5u = 180° - ( 120° + 30°) = 180° - 150° = 30°
u = 30° / 5 = 6°
The explicit rule for a sequence and one of the specific terms is given. Find the position of the given term.
f(n)=(2n-2)+2;52
The position of the given term is mathematically given as
n = 24
This is further explained below.
What is the position of the given term?A function that goes from one set to another gives each element of the first set precisely one element of the second set.
This particular set, X, is referred to as the function's domain, and this particular set, Y, is referred to as the function's codomain.
Generally, the equation for Function the is mathematically given as
f(n) = 2.5 n - 16
Considering that the total is 52, we need to locate the letter "n." (position). Now let's get the answer for "n":
52=(2n-2)+2
52=2n-2+2
52 = 2n-4
n = (52-4)/2
n = 24
In conclusion, the position of the given term.
n = 24
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Complete the statement. Justify your answer If 11m=3n, then m/n=?
[tex]11m = 3n \\ \frac{11m}{11 \times n} = \frac{3n}{11 \times n} \\ \frac{m}{n} = \frac{3}{11} [/tex]
ATTACHED IS THE SOLUTION
Describe one example of a human right that you think is essential for everyone to have throughout the world. Why is this right essential? (
An example of a human right that I think is essential for everyone to have throughout the world is the right to life.
This right is essential because we all should live and no one should deny others the right.
Whet are human rights?All people have the same basic legal rights, regardless of their gender, color, nationality, ethnicity, language, religion, or any other distinction. Human rights cover a wide range of rights, such as the freedom from slavery and torture, the right to life and liberty, the freedom of speech, the right to a job and an education, among many more. Human rights, which are usually protected by both domestic and international law, are moral principles or rules for particular standards of human behavior.
Human rights cover a wide range of rights, such as the freedom from slavery and torture, the right to life and liberty, the freedom of speech, the right to a job and an education, among many more. These rights apply to everyone without exception. The idea that a creature has the right to survive and, in particular, shouldn't be killed by another entity, is known as the right to life.
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Which expression is equivalent to (16z - 10) + (2x + 19)? A- 23x B- 18x + 29 C- 14x + 9 D 13x
nswer
Option C is correct
14x + 9
Explanation
e need to simplify the sexpression
16x - 10) + (-2x + 19)
= 16x - 10 - 2x + 19
ollect like terms by bringing terms with x together
= 16x - 2x - 10 + 19
= 14x + 9
Hope this Helps!!!
One pound of grout is enough to grout a tiled area that is 110 sq. ft. Alyssa’s kitchen counter is made up of two rectangular segments. One is 10.3 ft by 2.5 ft, and the other is 3.1 ft by 2 ft. Which expression represents the number of pounds of grout Alyssa will need?
By taking the quotient between the area that one pound covers and the area of the kitchen, we conclude that Alyssa will need 0.29 pounds of grout.
How many pounds will Alyssa need?We know that one pound of grout covers a total of 110 square feet.
Alyssa's kitchen is made of two rectangular segments, one that measures 10.3ft by 2.5 ft, then the area of this rectangle is:
10.3ft*2.5ft = 25.75 ft²
The other rectangle has dimensions of 3.1ft by 2ft, so the area is:
3.1ft*2ft = 6.2ft²
The total area is:
25.75 ft² + 6.2ft² = 31.95 ft²
Now, with one pond of grout, they can cover 110 ft², then the number of pounds that Alyssa needs is:
N = 31.95 ft²/110 ft² = 0.29
Alyssa will need 0.29 pounds of grout.
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in a 7 game series played with two teams, the first team to win a total of 4 games is the winner. suppose that each game played is independently won by team a with probability p
Each game played is independently won by team A with probability p, then team A will surely win the first game.
Given that one team leads 3 to 0, this would mean that in 3 trials, team A won all three games.
The probability of winning 3 out of 3 for team A is
P(A) = P3
The probability of winning 3 out of 3 for team B is
P(B) = (1-P)3
It is given that one of these two scenarios is the case, then the probability it is team A is:
P3/ (P3 + (1-P)3)
The probability that team A would win 0 of the next 4 games is
(1-P)4,
this means the probability that team A wins the series if they are up 3 to 0 is
1 - ( 1 - P ) 4
Similarly, if team A is to win every game, it is surely that they will win the first game.
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2 hats, one has 5 red balls and 5 green balls, and the other has 9 red balls and 3 green balls. the probability you drew a green ball, given it was from the second hat?
The probability that we drew a green ball from the second hat is 1/4.
What exactly is probability?Mathematical representations of the likelihood that an event will occur or that a statement is true are dealt with in the area of probability.A number between 0 and 1, where 0 roughly denotes impossibility and 1 roughly denotes certainty, is the probability of an event.Axiomatic, classical, empirical, and subjective are the four most popular approaches to probability.So, the second hat contains 9 red balls and 3 green balls.
P(E) = favourable events / total eventsHere, favourable event is 3 (green balls) and total events is (9 + 3 = 12)Now,
P(E) = favourable events / total eventsP(E) = 3/12P(E) = 1/4Therefore, the probability that we drew a green ball from the second hat is 1/4.
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What is the surface area of the cylinder with height 3 m and radius 8 m?
Round your answer to the nearest thousandth.
Answer:
3x8x2xπ ≈ 150.796m²
Step-by-step explanation:
when unfolded the cylinder is a rectangle of area equal to:
HxW ; H=height W=width
W is equal to the primer of the circle and the formula for that is:
2xπxr
substituting you get the area of a cylinder as follows:
Hxrx2xπ
Debnil has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3 : 1.
How many tablespoons of salt does Debnil have?
The number of tablespoons Debnil has is 2 tablespoons
Number of teaspoons of salt with Debnil = 6
Ratio = 3:1
Ratio: mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent."
Let x represent the total number of teaspoons and the tablespoons
Therefore,
6 = 3/4x
x = (6*4)/3
x = 8
So, there are a total of 8 spoons
Now, the number of tablespoons is 1/4 of the total
Hence, the number of tablespoons will be 2
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I need help its confusing because of the domain and dont know how how put it in to the question
Answer:
its all real numbers i took the quiz before
Step-by-step explanation:
The function h (x) = startfraction 1 over x squared 1 endfraction is the result of the composition f(g(x)). if g(x) = x2 1, what is f(x)? f (x) = startfraction 1 over startroot x endroot f (x) = startfraction 1 over x 1 endfraction f (x) = startfraction 1 over x squared 1 endfraction
This means that function of (x²+ 1) will give 1/(x²+ 1). To get f(x), we will simply replace x²+ 1 in the function f(x²+ 1) with x to give;
f(x) = 1/x
How do you define a function?
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given h(x) = 1/(x²+ 1) and g(x) = x²+ 1. If h(x) = f(g(x)) then;
1/(x²+ 1) = f(x²+ 1)
f(x²+ 1) = 1/(x²+ 1)
This means that function of (x²+ 1) will give 1/(x²+ 1). To get f(x), we will simply replace x²+ 1 in the function f(x²+ 1) with x to give output ;
f(x) = 1/x
Hence the function of x i.e f(x) is 1/x
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The perimeter of a pool is 116 feet. If the length of the pool is 3 times its width,
what is the width of the pool?
(Show work)
Answer:
The perimeter P of a rectangular is given by formula P=2l+2w where l is the length and w is width of rectangle.Given that perimeter is 56 meters and length's 16 meters. Substituting values in formula,subtract 32 from both sides -⇒24=2w w=12width of rectangular pool is 12 meters.Hence, the answer is 12.Answer:
Perimeter = 2(l+b)
Perimeter = 116
width = x
length = 3x
116 = 2(3x+ x)
116 = 6x+2x
116 = 8x
x = 116/8
x = 14.5
You can verify answer by inputing value of x to see if perimeter is = 116 :
perimeter = 2(l+b)
116 = 2(3(14.5) + 14.5)
116 = 2(43.5 + 14.5)
116 = 87 + 29
116 = 116
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Given 4.05(−15.6), find the product.
−63.18
−11.55
6.32
561.11
Answer:-63.18
Step-by-step explanation:
3x-4+3x-8 linear pairs of angles.
Answer:
Step-by-step explanation:
- 36
helppppppppppppppppp
Answer:
B.) cylinder
Step-by-step explanation:
2 circles on either side and a rectangle between them
please help asap. due monday
[tex]$\frac{4x^2+4x}{2x^2-2} =[/tex]
[tex]$\frac{4x\left(x+1\right)}{2x^2-2} =[/tex]
[tex]$\frac{4x\left(x+1\right)}{2\left(x+1\right)\left(x-1\right)} =[/tex]
[tex]$\frac{4x}{2\left(x-1\right)}=[/tex]
[tex]$\frac{2\cdot \:2x}{2\left(x-1\right)} = \frac{2x}{x-1}[/tex]
Answer:
4
Answer and Explanation: Two to the second power is 4. We write two to the second power as follows: 22.\
4 to the power of 2 can be expressed as 42 = 4 × 4 = 16.
18.) Find the average speed if you walk 6.2 miles in 90 minutes.
A) 14.52 miles per minute
B) .067 miles per minute
C) .069 miles per minute
D) 15 minutes per mile
compare these two integers.
Answer:
-4.1 < -√20
Step-by-step explanation:
-√20 = -4.472135954 (-4.47)
-4.4 < -4.47 (-√20)
Mai biked 6\frac{3}{4} miles today, and Noah biked 4\frac{1}{2} miles.
How many times the length of Noah’s bike ride was Mai’s bike ride?
The length of Noah’s bike ride was 1 1/2 of Mai’s bike ride
How to determine the number of times?From the question, the given parameters are
Distance covered by Mai = 6 3/4 milesDistance covered by Noah = 4 1/2 milesThe number of times the length of Noah’s bike ride was Mai’s bike ride is calculated as
Number of times = Distance covered by Mai/Distance covered by Noah
Substitute the known values in the above equation
So, we have the following equation
Number of times = (6 3/4)/(4 1/2)
Evaluate the quotient in the above equation
Number of times = 1 1/2
Hence. the number of times is 1 1/2 times
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a grant that your professor received includes funds for three graduate students to attend a conference to present their work. if your professor has eight graduate students and three students can go to the conference, how many choices does your professor have?
The number of choices that the professor has is 56.
How to calculate the value?From the information, the professor has eight graduate students and three students can go to the conference. This will be calculated using combination.
Combination formula
nCr = n! / ((n – r)! r!)
n = the number of items. = 8
r = how many items are taken at a time. = 3
Therefore, this will be:
= 8! / (8 - 3)! 3!
= 8! / 5!3!
= 8 × 7 × 6 / 3 × 2
= 56 ways.
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a company with 200 employees grew in size by 25% between 2005 and 2010. the company grew again by 10% between 2010 and 2015. what was the total number of employees in 2015?
The total number of employees in the company in the year 2015 is 275 employees
Number of employees in the company before increase = 200 employees
Percentage increase in employees between 2005 and 2010 = 25%
Percentage: A percentage is a ratio or fraction where the full value is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test.
So, the number of employees after the increase = 200+25%of 200
= 200+50 = 250
Percentage increase in employees between 2010 and 2015 = 10%
Number of employees after increase = 250 + 10% of 250
= 250 + 25 = 275 employees
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Caroline walks 9 1/2 inches per second. Give each rate in miles per hour. Round to the nearest tenth.
I got 32,400ft/hour. I divided that by 5,280ft because that’s 1 mile and I got 6.47. Rounded and got 6.5. The answer is .5 but I don’t understand how they got it.
9.5 or 9 1/2 inches per second in miles per hour is 0.5 .
What is conversion of units?
The process of translating measurements of a given quantity between different units, frequently using multiplicative conversion factors that change the value of the measured quantity without changing its effects, is known as unit conversion. The specific circumstances and the desired result dictate the conversion process. This may be governed by a regulation, contract, set of technical requirements, or other publicly available standards.
What is the conversion factor for inch to mile?
A value in inch when divided by 63360 gives a value in mile.
What is the conversion factor for second to hour?
A value in second when divided by 3600 gives a value in hour.
Given, the speed of Caroline in inches per second = 9 1/2 = 9.5/1 - (i)
Therefore following above literature and dividing numerator by 63360 and denominator by 3600, we get the speed in miles per second.
Thus, required speed = [9.5/63360]/[1/3600) = 0.539 = 0.5
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The depth of a local lake averages 26 ft, which is represented as |−26|. In February, it measured 5 ft deep, or |−5|, and in July, it was 18 ft deep, or |−18|. What is the difference between the depths in February and July? ( I need help I'm running out of time!!!)
21 feet
23 feet
8 feet
13 feet
The difference between the depths in February and July is the fourth option that is 13 feet |−13|.
Given that:-
Average of a depth of a local lake = 26 ft represented as |−26|.
Depth of a local lake in February = 5 ft represented as |−5|.
Depth of a local lake in July = 18 ft represented as |−18|.
We have to find the difference between the depths in February and July.
We know that,
Difference between the depths in February and July = Depth in July - Depth in February = 18 - 5 = 13 feet represented as |−13|.
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She starts with $100 and plans to add $50 each week. write an equation she can use to calculate the amount of money she will have after any number of weeks. how much money will she have after 1 year?
Main Answer:
2700 dollars
Explanation:
Let x be the number of weeks and y be the total amount of money, then the equation can be written as,
[tex]y=50x+100[/tex] -------(1)
In a year there are 52 weeks.
Money she will have after 1 year is found out by putting x = 52 in the equation (1), we get
[tex]y=50(52)+100[/tex]
[tex]y=2600+100[/tex]
∴[tex]y=2700[/tex]
Therefore, the money she have after 1 year is 2700 dollars.
Choose the correct slope for the line that passes through the following points (7,6) and (6,5)
Answer: m = 1
Step-by-step explanation
First, you must fill in the slope formula:
(7,6) first ordered pair
(6,5) second ordered pair
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
m = [tex]\frac{6-5}{7-6}[/tex] = [tex]\frac{1}{1}[/tex]
The slope is 1.
What’s the answers to these
Evaluating the algebraic expressions for the values given, we have:
a. -7
b. -10.
How to Evaluate an Algebraic Expression?To evaluate and algebraic expression, plug in the value of the variable given and solve accordingly.
a. Given the algebraic expression, xy + 5.
If x = 2, and y = -6, then substitute x = 2 and y = -6 to evaluate the algebraic expression:
xy + 5
(2)(-6) + 5 [substitution]
= -12 + 5
= -7
b. Given the algebraic expression, x/y - 12, if x = 22 and y = 11, then substitute x = 22 and y = 11 into the expression and evaluate:
x/y - 12
22/11 - 12 [substitution]
= 2 - 12
= -10.
Thus, the values of the expressions when evaluated for the given variables are:
a. -7
b. -10.
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Evaluate g(x) = 3x when x= -2,0, and 5.
Answer:
Step-by-step explanation:
g(x)=3x
g(-2)=3(-2)=-6
g(0)=3(0)=0
g(5)=3(5)=15
Ricardo is a network administrator for a
large law firm. His annual salary is
$43,450. What is his monthly salary?
Answer: 8690
Step-by-step explanation:
Divide $43450 by the number of months there are in a year (which is 12) and you get the answer
Use the slopes of lines A and B to show that
they are perpendicular
to each other.
The line A and line B are perpendicular to each other.
What is defined as the perpendicular lines?Perpendicular lines are defined in geometry as two lines which meet or intersect at right angles (90°). The term "perpendicular" is derived from the Latin phrase "perpendicularis," which means "a plumb line."The following are the two important properties of perpendicular lines.These lines are always at right angles when they intersect.If two lines seem to be perpendicular to each other, they are parallel and will never intersect.For the given ques, the graph of line A and line B are given.
The relation of slope of two perpendicular lines is their product of slope is -1.
Line A: select two point lying on the line A.
(2, 3) and (1, 1)
slope = m = (2 - 1)/(3 - 1)
m₁ = 1/2
Line B: select two point lying on the line B.
(8, 0) and (0, 4)
slope = m = (0 - 4)/(8 - 0)
m₂ = -4/8
m₂ = -1/2
Now, multiply both slopes.
m₁ x m₂ = 1/ 2 x -1/2
m₁ x m₂ = - 1
Thus, the line A and line B are perpendicular to each other.
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