Answer:
See Explanation
Step-by-step explanation:
a) Additive inverse of −2
the additive inverse of a number a is the number that, when added to 'a', yields zero. This number is also known as the opposite (number), sign change, and negation.So the Additive inverse of -2 is 2. ∴ -2+2=0b) Additive identity of −5
Additive identity is the value when added to a number, results in the original number. When we add 0 to any real number, we get the same real number. -5 + 0 = -5. Therefore, 0 is the additive identity of any real number.c) additive inverse of 3
Two numbers are additive inverses if they add to give a sum of zero. 3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3.d). multiplicative identity of 19
an identity element (such as 1 in the group of rational numbers without 0) that in a given mathematical system leaves unchanged any element by which it is multipliedMultiplicative identity if 19 is 1 only, since 19 x 1 = 19.e) multiplicative inverse of 7
Dividing by a number is equivalent to multiplying by the reciprocal of the number. Thus, 7 ÷7=7 × 1⁄7 =1. Here, 1⁄7 is called the multiplicative inverse of 7.d) | 11-5|×|1-5|
| 11-5|×|1-5| ⇒ I6I×I-4I ⇒ 6×4 ⇒ 24Which of the following must be true to prove triangle ABC = ~ triangle DEF by the AAS theorem? I need help to understand this, can someone show me step by step on how to do this?
The ratio of the populations of town A and B is 6:5, while the ratio of the populations of town B and C is 3:4. If the total population of the three towns is 53000, find the population of each town.
Answer:
The population of town A = 18,000
The population of town B = 15,000
The population of town C = 20,000
Step-by-step explanation:
Given;
A:B = 6:5
B:C = 3:4
total population = 53,000
A + B + C = 53,000
[tex]\frac{A}{B} = \frac{6}{5} \\\\A = \frac{6B}{5} \\\\\Also;\\\\\frac{B}{C} = \frac{3}{4} \\\\C = \frac{4B}{3} \\\\then;\\\\\frac{6B}{5} +B+ \frac{4B}{3} = 53,000\\\\multiply \ through \ by \ "15"\\\\18B + 15B + 20B = 795,000\\\\53B = 795,000\\\\B = \frac{795,000}{53} \\\\B = 15,000[/tex]
Now solve for A and C;
[tex]A = \frac{6 \times 15,000}{5} = 18,000\\\\C = \frac{4 \times 15,000}{3} = 20,000[/tex]
using appropriate properties find the value of 3/5×(-3)/10+1/15-3/5×1/5 please help me out
3/5×(-3)/10 + 1/15 - 3/5×1/5 = -7/30 ≅ -0.2333333
I hope this helps!
can someone pls pls help me?
Answer:
i think 88
Step-by-step explanation:
(it's been a while since I've done this so I'm not too sure it's correct)
The formula we need to use is
2πr(angle/360)
we need the radius (r)
To get r we need angle AES
180-80= 100
using the equation from before
88=2πr*(100/360)
raidus: 50.42
Then to get the length CD we need angle DEC
180-80=100
2π*50.42*(100/360)=88
there probably was some kind of shortcut we could've used to figure this out faster but whatever
A sports teacher had 1025 sweets. After distributing these equally amongst all the participants in a sports meet, he had just 1 sweet left with him. Which of these could be the number of sweets given away to each participant?
Answer:
C. 8
Step-by-step explanation:
Options
A. 5
B. 6
C. 8
D. Can't say without knowing the number of participants
Number of sweet distributed = Total number of sweets - left over sweets
= 1025 sweets - 1 left over sweet
= 1024 sweets
Number of participants = Number of sweets distributed / number of sweets given to each participant
A. 5
Number of participants = Number of sweets distributed / number of sweets given to each participant
= 1024 /5 Sweets
= 204.8 participant
B. 6
Number of participants = Number of sweets distributed / number of sweets given to each participant
= 1024/6
= 170.67 participant
C. 8
Number of participants = Number of sweets distributed / number of sweets given to each participant
= 1,024/8
= 128 participant
D. Can't say without knowing the number of participants
From the options given, the number of sweets given away to each participant could be 8
Number of sweets given to each participants is 32.
Since, A sports teacher had 1025 sweets and he had one sweet left after distributing.
So, number of sweets he distributing is, [tex]1025-1=1024[/tex]
Since, distributing these equally amongst all the participants
Therefore, number of sweets given to each participants is, [tex]=\sqrt{1024}=32[/tex]
So, total number of participants is 32 and number of sweets given to each participants is 32.
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Which is the graph of f(x) = x2 - 2x + 3?
2
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The graph of the function f ( x ) = x² - 2x + 3 is plotted
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the function be represented as A
Now , the value of A = f ( x )
f ( x ) = x² - 2x + 3 be equation (1)
Now , the function is a parabolic equation with the vertices at ( 1 , 2 )
Therefore , the function is f ( x ) = x² - 2x + 3 and the graph is plotted
Hence , the parabolic function is f ( x ) = x² - 2x + 3
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the game. Their scores are shoun below.
Darius and Barb are playing a video game in which the higher score wins
Darius's scores: 96, 54, 120, 87, 123
Barb's scores: 92, 98, 96, 94, 110
Barb says that she is the winner. Darius says that it is a tie. Who is correct?
Answer:
Barb is correct she won by 10 points
Darius's=480
Barb=490
The trapezoid below is made up of a square and a triangle. The total area of the trapezoid is 60 square meters. The area of the triangle is 24 square meters. What is the length of a side of the square?
Answer:
6cm
Step-by-step explanation:
Area of the trapezoid = Area of the square + Area of the triangle
Area of the square= Area of the trapezoid - Area of the triangle
Area of the square= 60 - 24
Area of the square= = 36 square metres
Since Area of the square= L²
L is the length of the side of the square
L² = 36
L = √36
L = 6cm
Hence the required length is 6cm
3 L of water of density 1 gram per centimetre cubed is added to 12litres of alcohol of density of 0.8 gram per centimetre cubed,find the density of the mixture.
Answer:
84%
Step-by-step explanation:
each liter is 1000 cubic centimetre, so you have a total density of 3000, but instead think of 3 liters being 100% density and think of alcohol as 80% density, there are 4 times at much 80% than 100% liquid.
with 3 liters of alcohol, 3 liters of water is now 90% density or 0.9 gram per centimetre. add another 3 liters and it is 2/3, so the grams per centimetre would be 8.66667 or 8 2/3's
if you add another 3 liters, THEN it is 85%
add 12 liters in total and the final answer 84%
June 14th Jim Thompson Homework
Answers:
8) Choices E, F and G9) r = -0.9510) 0.9 (choice C)11) Choice C. y1 = mx1+b12) Choice B. Slope13) Choice C. y intercept========================================================
Explanations:
8) Positive r values always go with positive regression slopes. The r value will likely not equal the slope, but they share the same sign.
------------------------------
9) The data set isn't given so I'm not sure. But it seems like your teacher just wants to know a hypothetical situation in which r value will produce the best fit. That would be r = -0.95 since we're the furthest from zero. The closer you are to r = 1 or r = -1, the better the fit.
------------------------------
10) The blue regression line, aka line of best fit, is fairly close to all of the data points. Also, the blue line has a positive slope. This means r is fairly close to 1. So that's why we go with r = 0.9
------------------------------
11) The general equation is y = mx+b. We simply replace x,y with x1,y1.
------------------------------
12) When considering y = mx+b, the m is the slope. I'm not entirely sure where the m comes from, but I've read some sources that say 'm' somehow represents 'mountain' which involves slopes. This could have simply been a memorization tool and not the actual reason why m was chosen to be the slope.
As an example, y = 2x+5 has slope 2.
------------------------------
13) The b in y = mx+b is the y intercept. It's the initial value.
It always occurs when x = 0 since
y = mx+b
y = m*0+b
y = b
Meaning the point (0,b) is the location of the y intercept.
For example, y = 2x+5 has y intercept 5 located at the point (0,5).
52 %of U.S. Adults have very little confidence in newspapers. You randomly select 10 U.S. Adults. Find the probability that the number of U.S. Adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four.
Answer:
a. P(x = 5) = 0.24
b. P(x ≥ 6) = 0.43
c. P(x < 4)= 0.14
Step-by-step explanation:
According to the Question,
Given, 52 %of U.S. Adults have very little confidence in newspapers & We have to randomly select 10 U.S. Adults.⇒We use Binomial Probability Formula
[tex]P(X = x ) = \frac{n!}{x!((n-x)! } * p^{x} * (1-p)^{n-x}[/tex]
Where, p=0.52 & n=10
a. The probability that the number of U.S. adults who have very little confidence in newspapers is exactly five . So, (x=5)
Thus, [tex]P(X = 5 ) = \frac{10!}{5!((10-5)! } * 0.52^{5} * (1-0.52)^{10-5}[/tex]
On Solving Above Equation we get,
P(5)=0.2441 ≈ 0.24
b. The probability that the number of U.S. adults who have very little confidence in newspapers is at least 6 . So, (x≥6)
Then,
P(x≥6) = P(6)+P(7)+P(8)+P(9)+P(10)
P(x≥6) = [tex]\frac{10!}{6!((10-6)! } * 0.52^{6} * (1-0.52)^{10-6}[/tex] + [tex]\frac{10!}{7!((10-7)! } * 0.52^{7} * (1-0.52)^{10-7}[/tex] +[tex]\frac{10!}{8!((10-8)! } * 0.52^{8} * (1-0.52)^{10-8}[/tex] + [tex]\frac{10!}{9!((10-9)! } * 0.52^{9} * (1-0.52)^{10-9}[/tex]+[tex]\frac{10!}{10!((10-10)! } * 0.52^{10} * (1-0.52)^{10-10}[/tex]
On solving above equation we get,
P(x≥6) = 0.4270 ≈ 0.43
c. The probability that the number of U.S. adults who have very little confidence in newspapers is less than 4 . So, (x<4)
Then,
P(x < 4)=P(3) + P(2)+P(1)+P(0)
P(x<4) = [tex]\frac{10!}{3!((10-3)! } * 0.52^{3} * (1-0.52)^{10-3}[/tex] + [tex]\frac{10!}{2!((10-2)! } * 0.52^{2} * (1-0.52)^{10-2}[/tex]+ [tex]\frac{10!}{1!((10-1)! } * 0.52^{1} * (1-0.52)^{10-1}[/tex] + [tex]\frac{10!}{0!((10-0)! } * 0.52^{0} * (1-0.52)^{10-0}[/tex]
On solving we get,
P(x < 4)= 0.1410 ≈ 0.14
Find the equation for the
following parabola.
Focus (0,5)
Directrix y = -5
A. y2 = 20%
B. X2 = 5y
C. X2 = 20
D. y2 = 5x
Answer:
C
Step-by-step explanation:
For any point (x, y) on the parabola the focus and directrix are equidistant
Using the distance formula
[tex]\sqrt{x^2+(y-5)^2}[/tex] = | y + 5 | ← square both sides
x² + (y - 5)² = (y + 5)² ← expand parenthesis on both sides
x² + y² - 10y + 25 = y² + 10y + 25 ( subtract y² - 10y + 25 from both sides )
x² = 20y
In each part, a and b represent the length of a leg of a right triangle, and c represents the length of its hypotenuse. Find the missing length, given the other two lengths.
Answer:
c=13 and a=20
Step-by-step explanation:
Here you need to use the Pythagoras theorem :
c²=a² + b²
c = √a² + b²
c = √(12)²+(5)²
c= √144+25
c = √169
c = 13
2) c²=a²+b²
b= √c²-b²
b= √(29)²-(21)²
b = √400
b = 20
In 2 you change your formula just so that it can be easier and just calculate your length straight forward but you can also just do it in the original equation
Write an equation that PASSES THROUGH (3, -1) and is PARALELL to y = 6x - 4
show work
Answer:
y = 6x - 19
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 6x - 4 ← is in slope- intercept form
with slope m = 6
Parallel lines have equal slopes , then
y = 6x + c ← is the partial equation
To find c substitute (3, - 1) into the partial equation
- 1 = 18 + c ⇒ c = - 1 - 18 = - 19
y = 6x - 19 ← equation of parallel line
to multiply two fractions multiply the numerator by the and the denominator by the
Answer:
Multiply the numerator by the numerator and the denominator by the demoninator.
Step-by-step explanation:
Answer:
Nope, to multiply two fractions = numerator × numerator / denominator × denominator
Step-by-step explanation:
For Example:
[tex]\frac{5}{3}[/tex] × [tex]\frac{8}{2}[/tex]
Multiply 5 by 8
40
Multiply 3 by 2
6
Result: [tex]\frac{40}{6}[/tex]
Finally Simplify
[tex]\frac{40}{6} =[/tex] [tex]40[/tex] ÷ 6 = [tex]6\frac{4}{6}[/tex] or 6.6 as a decimal
Need help on this question asap pleasee
Answer:
I think it is of the last option
Answer:
15×5 =75
Step-by-step explanation:
1 inch reprsnt 5
The mean age of 5 peoplein a room is
36 years
A person enters the room.
The mean age is now 36
What is the age of the person who
entered the room?
16. Solve y2 - 17x + 30 = 0 by factoring.
Answer:
x = 15 , x = 2
Step-by-step explanation:
[tex]x^2 -17x + 30 =0\\\\x^2 -2x-15x +30=0\\\\x(x-2)-15x(x-2) =0\\\\(x-15)(x-2)=0\\\\[/tex]
x = 15 , x = 2
Every Friday the boss buys pizza for his workers. Last week the workers finished 5 pizzas. This week
they finished 5 pizzas. Write the ratio of pizzas eaten last week to pizzas eaten this week.
Remember ratios must have two whole numbers.
Answer:
1:1 because they ate the same amount both weeks
If a baseball player hits a baseball from 4 feet off the ground with an initial velocity of 64 feet per second, how long will it take the baseball to hit the ground? Use the equation h = −16t2 + 64t + 4.
Answer options:
2 plus or minus square root of 17 end root over 2
quantity of 2 plus or minus square root of 17 all over 2
2 plus or minus 4 square root of 17
quantity of 16 plus or minus square root of 17 all over 2
Answer:
option c is the correct answer
Can someone quickly respond
which one would be the right answer?
Answer:
I don't know.
Answer:
It's (-3, -2)
I did the math, don't worry
Please Help. Thank you
Answer:
7/5 is the scale factor
Step-by-step explanation:
The formula to convert °F to °C is C = C equals StartFraction 5 Over 9 EndFraction left-parenthesis F minus 32 right-parenthesis.(F – 32).
Answer:
True
Step-by-step explanation:
The formula to convert Fahrenheit degrees to Celcius degrees is [tex]C=5/9*(F-32)[/tex]
which of the following is a geometric sequence?
Answer:
D
Step-by-step explanation:
notice how everything goes up by 3? that's a sequence.
tan A = opp/adj equals to what
Answer:
I need more information to answer this. Please provide more context
Step-by-step explanation:
SOHCAHTOA
SIN: Opposite/hypo
COS: Adj/Hyp
TAN: Opp/Adj
Which of the following are necessary
Step-by-step explanation:
B) opposite sides are congruent !!!!!!
I will pay for the answer.
Answer:
D
8x^2-12x+5
thanx for youer sug
Answer:
[tex]8x^2-12x+5[/tex]
Step-by-step explanation:
This is the same as saying h(g(x)). All you do is take the g(x) equation and plug that in for x in the h(x) equation.
h(x) = 4x+1 Plug in g(x) equation for x
h(g(x)) = [tex]4(2x^2-3x+1)+1[/tex] Distribute the 4 and simplify
h(g(x)) = [tex]8x^2-12x+5[/tex]
Landon and Eduardo both leave the coffee shop at the same time, but in opposite directions. If Eduardo
travels 9 mph faster than Landon and after 5 hours they are 135 miles apart, how fast is each traveling?
Answer:
Step-by-step explanation:
let the speed of Landon=x
speed of Eduardo=x+9
5x+5(x+9)=135
divide by 5
x+x+9=135/5=27
2x+9=27
2x=27-9
2x=18
x=18/2=9
speed of Landon=9 mph
speed of Eduardo=9+9=18 mph
Find the degree of the monomial -5a7b4,
Answer:
1
Step-by-step explanation:
The two cross sections shown are taken parallel to their respective bases. The cross sections have the same area. If the heights of the two solids are equal, find the volume of the cylinder. Round your answer to the nearest hundredth. A. 465.10cm3 B. Please select the best answer from the choices provided A B C D
Answer:
489.40 cm³
Step-by-step explanation:
Since the cross section is parallel to their respective bases, hence:
Area of the cylinder cross section = area of the circular base = πr²
where r is the radius of the cylinder base.
Area of other cross section = area of rectangle base = 3.8 cm * 8.1 cm
Since both cross sections have same area, hence:
Area of cylinder cross section = Area of rectangle base
πr² = 8.1 * 3.8
r² = 9.8
r = 3.1 cm
Volume of the cylinder = πr²h = π(3.1)²(15.9) = 489.40 cm³