The symbol '|' denotes absolute value, which measures the distance of a number from zero. Therefore, |-1.37| equals 1.37 and |1.21| equals 1.21. Since 1.37 is greater than 1.21, the absolute value of -1.37 is greater than 1.21.
Explanation:In mathematics, the symbol '|' denotes absolute value. The absolute value of a number measures its distance from zero, ignoring whether it is positive or negative. Hence, |-1.37| and |1.21| mean how far away -1.37 and 1.21 are from zero on the number line, respectively.
|-1.37| equals 1.37 and |1.21| equals 1.21. So, 1.37 is greater than 1.21. This means that A) |-1.37| > |1.21| is the correct option. In other words, the absolute value of -1.37 is greater than the absolute value of 1.21.
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What is the diameter in inches of a circle that has an area of 16pi square inches
[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ A=16\pi \end{cases}\implies 16\pi =\pi r^2\implies \cfrac{16\pi }{\pi }=r^2\implies 16=r^2 \\\\\\ \sqrt{16}=r\implies 4=r~\hfill \stackrel{\textit{diameter is twice the radius}}{d=8}[/tex]
what is the 52nd term for the following sequence ? 14,6,-2,-10,-18
It's an arithmetic sequence:
[tex]a_1=14\\a_2=14-8=6\\a_3=6-8=-2\\a_4=-2-8=-10\\a_5=-10-8=-18\\\vdots\\\text{The general formula for nth term of an arithmetic sequence}\\\\a_n=a_1+(n-1)d\\\\\text{We have}\ a_1=14,\ d=-8.\\\\\text{Substitute:}\\\\a_n=14+(n-1)(-8)=14-8n+8=22-8n\\\\\text{We need}\ a_{52}.\ \text{Put n = 52 to the formula}:\\\\a_{52}=22-8(52)=22-416=-394[/tex]
There are 25 students acting in a high school play. They make up 2% of the high school students. Hoy many students attend at the high school play
Answer:
1250
Step-by-step explanation:
since 2% of the school is 25 students that means every 2% there is 25 students.
100/2 = 50
50*25 = 1250 students
Answer:
1250 = total students
Step-by-step explanation:
Students in the play = total students * percent in play
We know that the students in the play =25
We know the percent in the play is .02
Substitute what we know into the equation
25 = total students * .02
Divide each side by .02
25/.02 = total students *.02/.02
1250 = total students
The value of the digit 4 in 24, 601 is how many times greater then the value digit 4 in 437
Answer:
The Answer is 10 times as much.
Step-by-step explanation:
We know that the 4 in 24,601 is 4000. We also know that the 4 in 437 is 400. If we do 4000/400, we get 10 times as much!
I hope this helps.
Brandon draws a reflection of the point (-4, -6). He gets the point (-4, 6). Across which axis did he reflect the point. Explain how you know
When you reflect a point across an axis, either the x value or the y value flips signs.
When you reflect across the x axis, the sign of the y value changes(+ to -) or (- to +)
When you reflect across the y axis, the sign of the x value changes (+ to -) or (- to +)
The point reflected across the x-axis because the sign of the y value changed/flipped, while the sign of the x value stayed the same.
Final answer:
Brandon reflected the point (-4, -6) across the x-axis to get the point (-4, 6), which is recognized by the unchanged x-coordinate and the sign reversal of the y-coordinate.
Explanation:
Brandon reflected the point (-4, -6) to get the point (-4, 6). This reflection occurred across the x-axis. We know this because the x-coordinate of the point remained unchanged, indicating that the point was not moved left or right. However, the y-coordinate changed from -6 to 6, which signifies that the point was reflected over the x-axis and moved from below the axis to an equal distance above the axis.
In reflections across the x-axis, the x-coordinate remains the same while the sign of the y-coordinate is reversed. Conversely, a reflection across the y-axis would keep the y-coordinate the same and reverse the sign of the x-coordinate.
In a coordinate system, negative or positive values for x and y are determined by their position relative to the origin. Points to the right of the origin and above the origin are usually considered to have positive coordinate values, with directions indicated by arrows on the axes. In Brandon's case, the negative y-coordinate became positive, affirming the x-axis as the axis of reflection.
An alligator is 6 inches long and grows 8 inches per year. Write an equation that represents the length y (in feet) of an alligator that is x years old. How long will the alligator be after 7 years?
Answer:
y=[(8in*x)+6in]/12in
solve fast pls hh
Solve 8x+3−3(x−1)=x−2.
Answer:
x= -2
Step-by-step explanation:
1-) 8x+3-3x+3=x-2
2-) 5x+6=x-2
3-) 4x=-8
4-)x= -2
What is 3.2 m converted to centimeters?
A. 3.2 cm
B. 32 cm
C. 320 cm
D. 0.032 cm
Answer:
C. 320 Cm
Step-by-step explanation:
To convert any value in meters to centimeters, just multiply the value in meters by the conversion factor 100.
3.2 meters=3.2*100=320 centimeters
Rewrite the following expression using the associative property
(4x+9x)+12x
Michelle’s annual take-home pay is $29,000. What is the maximum amount that she can spend per month paying off credit cards and loans and not be in danger of credit card overload?
Answer:
242 dollars / month. See guidelines below
Step-by-step explanation:
That depends largely on where she lives. The rule of thumb is to allow about 1/3 for rent after the government takes it's cut (that's all governments).
Here is an actual breakdown of how budgeting should be done.
Rent 33%Transportation 15% No carFood 10% very low. That means 240 / monthDebt 10%Personal 5%Savings 10% Utilities 10%Clothing 3%Medical 4% very low. Particularly if she is American.Total 100%These numbers are meant for Canada and are meant as a guide. In reality, if you live in the United States you will have to be spending more on medical for example and less somewhere else.
Now to your question. She has 29000 dollars. Debt is listed at 10%
10% of 29000 = (10/100) * 29000 = 2900 dollars.
Like most numbers having to do with money, most people don't understand large numbers and have to have them broken down. In monthly terms, she can spend 2900 / 12 = 241.67 dollars / month on debt. That does not mean that she can add 241.67 of new debt every month. It means that she must first pay off what she owes, and then she gets to spend the balance on debt, but that is a very dangerous way to think. What she should say is if she has left over money that money can be transferred over to another category.
I know of very few people that can consider themselves debt free. Fewer of our American friends can make the claim.
The sources of these %s come from Credit Counselling Society (of Canada)
F(x)= (x-2)^2 (x+2)(x+3)
Answer:
[tex]x^{4}[/tex] + x³ - 10x² + 20x
Step-by-step explanation:
expand (x - 2)² and (x + 2)(x + 3) using FOIL
= (x² - 4x + 4)(x² + 5x + 6)
multiply each term in the second factor by each term in the first factor
= [tex]x^{4}[/tex] + 5x³ + 6x² - 4x³ - 20x² - 24 + 4x² + 20x + 24 ← collect like terms
= [tex]x^{4}[/tex] + x³ - 10x² + 20x
first to answer will be the brainliest
Answer: the first question is no. It is not a proportional relationship. Can you tell me what the options for the second question is please?
The family size bottle of sunscreen holds 12 fluid ounces (fl oz) of sunscreen. The regular bottle holds 75% less. How many fewer fluid ounces does the regular bottle of sunscreen hold?
Answer:
9
Step-by-step explanation:
which of the following are possible rational roots 3x^2-3x+5
Answer: [tex]\bold{\pm1, \pm5, \pm\dfrac{1}{3},\pm \dfrac{5}{3}}[/tex]
Step-by-step explanation:
Q P
3x² - 3x + 5
Possible rational roots are all of the factors of P divided by all of the factors of Q, including both positive and negative values.
[tex]\pm \dfrac{\text{factors of P}}{\text{factors of Q}}[/tex]
[tex]=\pm \dfrac{\text{factors of 5}}{\text{factors of 3}}[/tex]
[tex]=\pm \dfrac{1, 5}{1, 3}[/tex]
[tex]=\pm\dfrac{1}{1}, \pm\dfrac{5}{1}, \pm\dfrac{1}{3},\pm \dfrac{5}{3}[/tex]
In Maria's store, the customer count this week is 3000. Maria is planning a promotion and expects a 5% increase in customers next week. How many additional customers is Maria expecting?
Answer:
150
Step-by-step explanation:
3000 * 0.05 = 150
A rescue helicopter is used to help victims who fell in a ditch. The helicopter begins at sea level, which is an elevation of 0 feet. It then travels down for 100 seconds at a speed of 10.5 feet per second. It then travels directly up for 150 seconds at a speed of 5.2 feet per second. After this 250 second period, how much time, in seconds, will it take for the rescue helicopter to travel back to sea level at the helicopter's maximum speed of 15.8 feet per second?
Answer:
The helicopter still needs to fly up sec 17.0886 at maximum speed.
Step-by-step explanation:
To find out how far the helicopter went down do 100(seconds) * 10.5 and get 1050
Then how much he traveled back up same thing 150 (seconds) * 5.2 and get 780
Next find the difference 780-1050 and get -270 ft it is negative because it is still BELOW GROUND ( That's how you know if it need to fly up or down)
Last to find how many seconds you need you work backwards so instead of multiplying you do the opposite witch is dividing so you take your feet (270) and divide by the maximum speed (15.8). 270/15.8 is 17.08
What's the lateral area of a right cylinder if the radius of the base is 12mm and the altitude of the cylinder is 5 times the base radius? Use the π key to calculate and round your answer to the nearest whole number.
Answer:
1440π squared mm.
Step-by-step explanation:
Given is the radius of base of cylinder, r = 12mm.
The altitude is five times the base radius, h = 5 times 12mm = 60mm.
The lateral area of the cylinder is the curved surface area of the cylinder.
The formula for curved surface area of cylinder is as follows:-
Curved Surface Area = Circumference of base x altitude of cylinder.
SA = 2πrh = 2π•12•60 = 1440π sq. mm.
Hence, Lateral area of cylinder is 1440π squared mm.
Answer:
1440π
Step-by-step explanation:
We are given the radius of the base of a right cylinder to be 12 mm and its altitude or height to be 5 times the base radius which is equal to (12 x 5) = 60 mm.
We know the formula for the lateral area of a right cylinder:
[tex]A = 2\pi rh[/tex]
So putting in the given values with [tex]\pi[/tex] as it is to get:
[tex]A=2\pi *12*60[/tex]
[tex]A=2(720)\pi[/tex]
[tex]A=1440\pi[/tex]
Therefore, the lateral area of this right cylinder is 1440π.
what scale factor was used in dilation
Answer: (c) [tex]\bold{\dfrac{3}{4}}[/tex]
Step-by-step explanation:
Chooe any point I am choosing point W.
The W' is closer to C than W so the dilation is less than 1
The only answer choice that is less than 1 is option c.
Why is this the answer? because the side lengths are proportional
[tex]\dfrac{CW'}{CW} = \dfrac{WX'}{WX}= \dfrac{3}{4}[/tex]
Need help with #18 ASAP. Will pick brainliest and question worth 20 points.
Answer:
scoops 1 1/2 5 12.8 1.5 1.05 20 12.25
milk 10 5 50 128 15 10.5 200 122.5
Step-by-step explanation:
The problem states 1 scoop per 10 oz of milk
1 scoop x scoops
------------ = ------------
10 oz 5 oz
Using cross products
1 *5 = x * 10
Divide by 10
5/10 =x
1/2 scoops
1 scoop 5 scoops
------------ = ------------
10 oz x oz
Using cross products
1 *x = 5 * 10
x =50
50 oz
1 scoop x scoops
------------ = ------------
10 oz 128 oz
Using cross products
1 *128 = x * 10
Divide by 10
x =128/10
12.8 oz
1 scoop 1.5 scoops
------------ = ------------
10 oz x oz
Using cross products
1 *x = 1.5 * 10
x =15
15 oz
1 scoop x scoops
------------ = ------------
10 oz 10.5 oz
Using cross products
1 *10.5 = x * 10
Divide by 10
x =10.5/10
1.05 oz
scoop 20 scoops
------------ = ------------
10 oz x oz
Using cross products
1 *x = 20 * 10
x =200
200 oz
scoop 12.25 scoops
------------ = ------------
10 oz x oz
Using cross products
1 *x = 12.25 * 10
x =122.5
122.5 oz
Answer:
[tex]\underline {\text{P}\ \ |\quad1\quad| \quad\frac{1}{2}\quad|\quad5\quad|\quad12.8\quad| \quad1.5\quad| \quad1.05\quad|\quad20 \quad|\quad12.25\quad|}\\{\text{M}\ |\quad10\ \ | \quad 5\quad|\quad50\ \ |\quad128.\quad|\quad15\quad| \quad10.5\quad|\quad200\ |\quad122.5\quad|}[/tex]
Step-by-step explanation:
Set up the proportion as [tex]\dfrac{1 \text{ powder}}{10 \text{ milk}}=\dfrac{P}{M}[/tex], then cross multiply and solve for the variable.
Column 1: [tex]\dfrac{1}{10} =\dfrac{1}{M}[/tex] → M = 10
Column 2: [tex]\dfrac{1}{10} =\dfrac{P}{5}[/tex] → 5 = 10P → [tex]\frac{1}{2} = P[/tex]
Column 3: [tex]\dfrac{1}{10} =\dfrac{5}{M}[/tex] → M = 50
Column 4: [tex]\dfrac{1}{10} =\dfrac{P}{128}[/tex] → 128 = 10P → 12.8 = P
Column 5: [tex]\dfrac{1}{10} =\dfrac{1.5}{M}[/tex] → M = 15
Column 6: [tex]\dfrac{1}{10} =\dfrac{P}{10.5}[/tex] → 10.5 = 10P → 1.05 = P
Column 7: [tex]\dfrac{1}{10} =\dfrac{20}{M}[/tex] → M = 200
Column 8: [tex]\dfrac{1}{10} =\dfrac{12.25}{M}[/tex] → M = 122.5
In the diagram below which distance represents the distance from point d to ab
Answer:
CD
Step-by-step explanation:
The fastest way to get from D to AB is to go down CD
The distance from the point D to line AB is represented by the distance CD.
How to find the distance from a point to a line?To find out the distance from a point to a line we have to draw a perpendicular to the line from a given point, this distance will be considered as the distance between the point and line.
Hence the distance from point D to line AB is CD(option A).
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What is the simplified form of (−7x3 + 5x2 − x + 6) − (−8x3 + x2 + 3)?
A. −x3 + 4x2 − x + 3
B. x3 + 4x2 − x + 3
C. x3 − 4x2 − x − 3
D. −15x3 + 6x2 − x + 9
Answer:
B. x3 + 4x2 − x + 3
Step-by-step explanation:
(−7x^3 + 5x^2 − x + 6) − (−8x^3 + x^2 + 3)
Distribute the negative sign
(−7x^3 + 5x^2 − x + 6) + (8x^3 - x^2 - 3)
I like to line them up vertically.
−7x^3 + 5x^2 − x + 6
8x^3 - x^2 - 3
----------------------------------
x^3 +4x^2 -x +3
The simplified form of the expression ( –7x³ + 5x² – x + 6) – (–8x³ + x² + 3) is x³ + 4x² – x + 3, corresponding to option B.
To simplify the expression ( –7x³ + 5x² – x + 6) – (–8x³ + x² + 3), we need to remove the parentheses and then combine like terms.
First, distribute the negative sign through the second set of parentheses: –7x³ + 5x² – x + 6 + 8x³ – x² – 3.
Next, combine like terms: (–7x³ + 8x³) + (5x² – x²) – x + (6 – 3).
This simplifies to x³ + 4x² – x + 3.
So, the correct simplified form of the expression is option B. x³ + 4x² – x + 3.
simplify the expression. 16-4[3+2÷(9-7)]
Answer:
0
Step-by-step explanation:
Answer:
IT ALL EQUALS TO 0.
Step-by-step explanation:
Step 1: Parenthesis:
16 - 4[3 + 2 / 2]
Sep 2: dO DIVISION IN THE BRACKETS:
16 - 4[3 + 1]
Step 3: Add what is in the brackets
16 - 4[4]
Step 4: Multiply
16 - 16
Step 5: Simplify
0
HELP ME PLEASE
12*8+(12^3)=
Answer:
1824
That would be your total
Answer:
1824
Step-by-step explanation:
12*8+(12^3)=
We need to work these in the order of PEMDAS. First is the parentheses and exponents.
12*8 + 1728
Next is multiplication.
96+1728
Now add.
1824
Jesse earns $3 each time he walks a dog. Last Monday and Tuesday, he earned a total of $45. He walked 8 dogs on Tuesday. How many dogs did Jesse walk on Monday?
Answer:
7
Step-by-step explanation:
3*8=24 and so 3*7 would =21 and 21+24=45
Jesse walked 7 dogs on Monday.
To find this answer, you must first find out how much money he made for walking dogs on Tuesday. To do so, multiple 8 (number of dogs) by 3 (amount of money earned per dog. This will give you 24, which you subtract from the total (45). 45 - 24 = 21. Finally, divide 21 (amount he made on Monday) by 3 (amount of money earned per dog) to get 7 dogs on Monday.
I hope this helps!
Chris need a graphing calculator for math class c find a $60 model on sale for 15% off if you decide to buy this calculator how much will the sale price be
A)9
B)12
C)51
D)69
Answer:
C) $51
Step-by-step explanation:
Step 1. Calculate the discount
The discount is 15 % of $60
Discount = 60 × 0.15
Discount = $9
===============
Step 2. Calculate the sale price
Sale price = original price - discount
Sale price = 60 - 9
Sale price = $51
The sale price will be $51.
HELP ME PLEASE. Round the fraction to the nearest 1/2.
1/9. A 0
B 1/2
C 1
Answer:
A.0
Step-by-step explanation:
We can make 1/9 to 2/18
0 is 0/18,
1/2 is 9,18,
1 is 10/18
It is closest to 0/18
Answer:A
Ben made a model that was 5 3/4 inches tall. Laquisha made a model that was 70 11/12 inches tall. How many times as tall was Laquisha’s model?
To determine how many times taller Laquisha's model is compared to Ben's model, convert their heights to improper fractions and divide, simplifying the result to find the ratio.
Explanation:To find out how many times taller Laquisha's model is compared to Ben's model, we divide their heights. Laquisha's model height is
70 11/12 inches, and Ben's model height is 5 3/4 inches. First, convert the mixed numbers to improper fractions. Ben's height as an improper fraction is 23/4 inches. Laquisha's height as an improper fraction is 851/12 inches. Next, divide Laquisha's model by Ben's: (851/12)
÷ (23/4). To divide fractions, we multiply by the reciprocal of the second fraction: (851/12)
× (4/23). Simplify to find the ratio, which represents how many times taller Laquisha's model is.
Identify the domain and range of the relation. Represent the relation with a
mapping diagram. Is the relation a function?
{(−1, 1), (−2, 2), (4, −4), (7, −7)}
The domain and range of the relation {(-1, 1), (-2, 2), (4, -4), (7, -7)} are {-1, -2, 4, 7} and {1, 2, -4, -7} respectively.
What is relation in function?Not every relation is a function, but every function is a relation.
A function is a relation with clear boundaries.
When we say that something is well-defined, we mean that each element has been assigned a specific image.
The given set is,
{(-1, 1), (-2, 2), (4, -4), (7, -7)}
The domain of a set is the values of x,
Domain = {-1, -2, 4, 7}
The range of a set is the values of y,
Range = {1, 2, -4, -7}
The relation makes the function because for every value of x the sign of function y is negative,
The required function is,
y = -x.
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Joe filled up his car’s gas tank. After travelling 165 km, 3 8 of the gas in the tank was used. At this rate, approximately how much farther can the car travel before its fuel tank is completely empty?
Answer:
275 km
Step-by-step explanation:
It has 1 - 3/8 = 5/8 of a tank left.
3/8 of a gallon gives 165 km
So 1 gallon gives 165 / 3/8 = 165 * 8/3 km
5/8 gallon gives 168 * 8/3 * 5/8 km
= 165 * 5/3
= 275 km (answer)
Mateo wrote the equation 8-2(3-x)=4x-2(x+1).How many solutions are there to Mateo’s equation?
A. No solution
B. exactly one solution
C. exactly two solutions
D. exactly many solutions
After simplifying Mateo's equation, we find that it results in an impossibility (2=-2), which means that the equation has no solution.
Explanation:In order to find the number of solutions to Mateo's equation, we first need to simplify it. The equation given is 8-2(3-x)=4x-2(x+1). Distributing the numbers on each side of the equation, it turns into 8-6+2x = 4x -2x -2. Simplify it further into 2x + 2 = 2x - 2. If we subtract 2x from both sides, we get 2 = -2.
This result, 2 = -2, is not possible or true. Therefore, the given equation has no solutions. The correct answer to the question is therefore option A: No solution.
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