Answer and Step-by-step explanation:
H= {all numbers of the form 3n+1, for n natural number} under multiplication:
Sol: all number of the form 3n+1, for n natural number so, put n=2, 3(2) +1 = 7, which is a natural number. A natural number under multiplication does not form a group because its inverse does not exist.
J= {all number of the form 3n+2, for n natural number} under multiplication:
Sol: all the number of the form 3n+2, n is the natural number does not form a group under multiplication because the identity element does not form in this set, and inverse does not exist.
K= {perfect squares of integers} under addition:
Sol: perfect square of integers under addition does not form a group because the inverse does not exist. For example, for any element x, inverse (-x) does not exist because of a square integer.
L= {perfect squares of integers} under multiplication:
Sol: a set of the perfect square of integers under multiplication is not a set, because it does not have the inverse property
M= {all numbers of the form 2, for n natural number} under addition:
Sol: natural number in the form of 2n, n is a natural number under addition is not a group as it does not have identity property. Identity property, under addition, is zero.
N= {all number of the form 2n, n is natural number} under multiplication:
All number of the form 2n, n is the natural number under multiplication is not a group. Because its inverse does not exist. For example, an element x belongs to a natural number; its inverse (1/x) does not exist in this set.
In the given figure <abc = 90 degree and CA=2BC.Find the measure of <BAC
Answer:
the value of <BAC= 30° ...
Pete is purchasing a smart phone for $249.30 he gives the sales clerks 3 fifty-dollar bills 4 twenty-dollar bills, and 4 five-dollar bills. how much should he receive in change
Liset ran 17 miles in 204 minutes. How long would you except it to take her run 8 miles?
Answer:
96 minutes.
Step-by-step explanation:
17 miles = 204 minutes
1 mile = ?
204/17 = 12 minutes
1 mile = 12 minutes
8 miles = ?
8 × 12 = 96 minutes
It would take Liset 96 minutes to run 8 miles.
How many oranges equal 6 cups of juice?
Answer:
1/3
Because 1/3 if divide into two, it'll be 0.5/3 but if the question says that the answer have to be in whole number, that means it must be 1/6.
Answer:12
Step-by-step explanation:
because it will take 2 to make a cup
3a - 6a + 20 = 8a + 24 - 5a - 4
Step-by-step explanation:
-3a + 20 = 3a + 20
-6a + 20 = 20
-6a = 0
a = 0
Answer: a=0
Step-by-step explanation:
Given
3a-6a+20=8a+24-5a-4
Combine like terms on both sides
-3a+20=3a+20
Subtract 3a on both sides (subtractive property of equality)
-6a+20=20
subtract 20 on both sides (subtractive property of equality)
-6a=0
Divide -6 on both sides (division property of equality)
a=0
Hope this helps!! :)
Please let me know if you have any question or need further explanation
f(x)=x2-x find f (3)
Answer:
f(3) =6
Step-by-step explanation:
[tex]f(x) =x^2 -x\\\\f(3) = ?\\\\f(3) = (3)^2 -3\\f(3) = 9-3\\f(3) =6[/tex]
Answer:
[tex]\huge \boxed{\sf{f(3)=6}}[/tex]
Step-by-step explanation:
[tex]\sf f(x)=x^2-x[/tex]
For f(3), the input or x value is 3.
[tex]\sf f(3)=3^2-3[/tex]
Evaluate the expression.
[tex]\sf f(3)=9-3[/tex]
[tex]\sf f(3)=6[/tex]
side length of 216 cubic yards
Answer:
6 yards
Step-by-step explanation:
a³ = 216
a = ∛ 216
= 6 yards
Answer:
6 yards
Step-by-step explanation:
The volume of a cube can be found using the following formula.
[tex]v= s^3[/tex]
We know the volume is 216 cubic yards, so we can substitute 216 yd³ in for v.
[tex]216 yd^3=s^3[/tex]
We want to find the side length. Therefore, we must isolate the variable, s, on one side of the equation.
s is being cubed. The inverse of cubed is the cube root. Take the cube root of both sides of the equation.
[tex]\sqrt[3]{216 yd^3}=\sqrt[3]{s^3}[/tex]
[tex]\sqrt[3]{216yd^3}=s[/tex]
[tex]6yd=6[/tex]
The side length of the cube is 6 yards.
Max drove 460 miles in 8 hours at a constant speed. How long would it take him to drive 661.25 miles at that speeds?
Answer:
106
Step-by-step explanation:
Sksjwisjsjsoansnsan just to get points so give it a thanks thing ty
Answer:
x=11.5hours
Step-by-step explanation:
661.25miles÷57.5mph=11.5hours
Se quieren repartir 21 chocolates entre 4 chicos en partes iguales y sin que sobre nada, cuantos chocolates recibira cada uno?
Answer: Cada chico recibira 5.25
The sum of 2 and the square of a number r
Answer:
[tex] {r}^{2} + \: 2[/tex]
Step-by-step explanation:
Let the no. be r . It's square will be r^2 .
When r^2 is added with 2 , then it's sum is r^2 + 2
Average Weight Animal At Birth (g) Adult Female(g) Adult Male (g) Hamster 2 120 110 Guinea pig 65 800 1,030 Rat 7 265 470 On average, a hamster at birth weighs 2 3 the weight of a gerbil at birth. Enter and solve an equation to find the average weight of a gerbil at birth. Let g represent your variable. The equation is . The average weight of a gerbil at birth is g.
Answer:
The answer is below
Step-by-step explanation:
An equation is a mathematical statement that shows the equality between two expressions.
From the table, the average weight of the hamster at birth is 2 grams. The average weight of gerbil at birth is 2/3 of that of hamster. Let g represents the weight of the gerbil at birth, hence the weight can be gotten by solving the equation:
2/3 of hamster weight at birth = Average weight of gerbil at birth
2/3 × 2 grams = g
g = 2/3 × 2 grams = 4/3 grams = 1.33 grams
The average weight of gerbil at birth = 1.33 grams
find the average rate of change for the interval 2,4
Answer:
8
Step-by-step explanation:
It went from 7 to 15?
Really struggling with this one. Can someone help please?
Answer:
12
Step-by-step explanation:
M is in the middle between S and T we know 2x+6 has to be the same as 3x+3 if 3x is one more x then 2x then we do 6-3 that eqauls 3 so X=3 and 2*3=6 and 6+6= 12.
Hey there! :D
Answer:
[tex]\huge\boxed{SM = 12}[/tex]
SM = 2x + 6
MT = 3x + 3
M is the midpoint of SM
Write an expression to represent the length of ST:
ST = SM + MT
ST = 2x + 6 + 3x + 3
Combine like terms:
ST = 5x + 9
Since ST = 2(SM), set up another equation:
5x + 9 = 2(2x + 6)
5x + 9 = 4x + 12
Isolate the "x" variable:
5x - 4x = 12 - 9
x = 3.
Substitute in this value of "x" into the equation for SM:
2(3) + 6 = 12.
I need help with geometry one my question is construct AD congruent to JK
Answer:
use your compass to copy the length to a new line
Step-by-step explanation:
To make a line segment that has the same length as another, set your compass width to the length of the one you want to copy, and use that to mark the length on the line where you want your copy.
Use a straightedge to draw a line longer than JK.
Label a point on that line A.Set your compass to the length JK.Mark that length from point A on the line you drew. Label the mark D.AD is congruent to JK.
Estimate the product of 53 x 73.
Answer:
3500
Step-by-step explanation:
53 is closer to 50 and 73 is closer to 70, so 50*70 is 3500, which is the closer bet.
What is the slope of
3y = -4x + 6
Answer:
Hey there!
3y=-4x+6
y=-4/3x+2
Thus, the slope is -4/3.
Hope this helps :)
Answer:
the slope is -4/3
Step-by-step explanation:
3y = -4x + 6
y=-4/3 x +6/3
y=-4/3 x+2
the slope is -4/3
hi, please help me out :)) thank you
Answer:
d =32
Step-by-step explanation:
[tex]\sqrt{7d+1}-4=11\\\\\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\\\sqrt{7d+1}-4+4=11+4\\\\Simplify\\\sqrt{7d+1}=15\\\\\mathrm{Square\:both\:sides}:\quad 7d+1=225\\7d+1=225\\\\\mathrm{Solve\:}\:7d+1=225:\\\quad d=32[/tex]
Answer:
d = 32
Step-by-step explanation:
[tex]\sqrt{7d-1} -4+4=11+4[/tex]
[tex]\sqrt{7d-1} =15[/tex]
[tex]7d+1=15 *15[/tex]
[tex]7d+1=225[/tex]
[tex]7d=225-1[/tex]
[tex]7d=224[/tex]
[tex]d=\frac{224}{7}[/tex]
[tex]d=32[/tex]
what is the sum of the arithmetic series: s10 = -20, d = 4, a1 =?
Answer:
first term a1 is -40.
Step-by-step explanation:
in an arithmetic series,
sum of first term terms (S10) = -20
Common difference (d) = 4
first term (a)= ?
number of terms (n)= 10
now,
S10 =( n÷2) [a1 +(n-1) d]
or, -20 = (10÷2) [a1 + (10-1) 4]
or, -20 = 5 ( a1 + 36)
or, -4 = a1 + 36
or, a1 = -40
[tex]\blue\star[/tex]s10 = -20
[tex]\blue\star[/tex]n = 10
[tex]\blue\star[/tex] an = -20
[tex] \green\star[/tex] solution
[tex] \green\star[/tex]s10 = n\2 [a+(n-1)d]
[tex] \green\star[/tex]-20 = 10a2[a+(10-1)4]
[tex] \green\star[/tex]-4 = a +36
[tex] \green\star[/tex]a1 = -40
[tex]\small\boxed{a = -40}[/tex]
Hope it helps.
Hope it helps
Elliott put 7 cups of tea in to a jar. How many more cups of tea does he need to fill up the jar? Capacity: 4 quarts (1 quart = 4 cups)
Answer:
9 cups
Step-by-step explanation:
1 quart= 4 cups
4 quart= ? cups (crisscross)
4 quart=16 cups
16-7= 9 cups
Which properties can be used to solve 7y − 15 = −29? Select all that apply.
Answer:
addition property of equality
inverse property of multiplication
Step-by-step explanation:
7y − 15 = −29
Add 15 to each side using the addition property of equality
7y -15+15 = -29+15
7y = -14
Divide each side by 7 using the inverse property of multiplication
7y/7 = -14/7
y =2
Answer:
[tex]\Large \boxed{\mathrm{Addition \ Property \ of \ Equality}} \\\\\\ \Large \boxed{\mathrm{Inverse \ Property \ of \ Multiplication}}[/tex]
Step-by-step explanation:
[tex]\sf 7y-15=-29[/tex]
Using the additive property of equality, we add 15 to both sides of the equation.
[tex]\sf 7y-15+15=-29+15[/tex]
[tex]\sf 7y=-14[/tex]
Using the inverse property of multiplication, we divide both sides of the equation by 7.
[tex]\displaystyle \sf \frac{7y}{7} =\frac{-14}{7}[/tex]
[tex]\sf y = -2[/tex]
What number is 0.72 more than 0.971?
Answer:
1.691
Step-by-step explanation:
.971 + .72
Answer:
1.691
Step-by-step explanation:
What number is 0.72 more than 0.971?
To solve your question, you're gonna have to add the two numbers together.
[tex]0.72+0.971[/tex]
0.971
+0.72
_______
1
0.971
+0.72
_______
91
0.971
+0.72
_______
691
1
0.971
+0.72
_______
1.691
So your answer is
[tex]1.691[/tex]
Hope this helped!
What is the range of the function represented by the graph?
Answer:
B) {1,2,3,4}
Step-by-step explanation:
Since they are separate points and not on a function, you take the y value of each
The square of a whole number is between 6400 and 7000. The number must be between ?
Answer:
80 and 83.6660026534
Step-by-step explanation:
The square root of 6400 is 80 and the square root of 7000 is 83.6660026534 so it would be between these two.
1.414 is an ? for the square root of 2
Answer:
1.999396
Step-by-step explanation:
square of 1.414=1.999396
square root of 1.999396=1.414
∠A and ∠B are two supplementary angles such that ∠A= x° and ∠B= (2x+30)°. Find the measure of ∠B.
Answer: 130°
Step-by-step explanation:
supplementary angle: ∠A+∠B=180°
x+(2x+30)=180
x+2x+30=180
3x+30=180
3x=150
x=50
2(50)+30=100+30=130°
Hope this helps!! :)
Please let me know if you have any question
A group of boys went on a camping trip. They spent the night in 5 tents and 4 cabins. There were 9 boys in each tent and 7 boys in each cabin. How many boys went on the trip?
Answer:
Step-by-step explanation:
In a tent, there are nine boys.
There were five tents.
5 tents containing 9 boys can equal 45 boys.
(5 x 9 = 45)
In a cabin, there are seven boys.
There were four cabins.
4 cabins containing 7 boys can equal 28 boys.
(4 x 7 = 28)
Now, to find all the boys, add the numbers together.
28 boys with 45 boys will equal 73 boys.
Please check my answer for no one, not even me is right.
Good luck :)
write the polynomial the product and sum of whose zeroes are -9/2 and-3/2
Answer:
y = 2x² + 3x - 9
Step-by-step explanation:
Given αβ = - [tex]\frac{9}{2}[/tex] = [tex]\frac{c}{a}[/tex]
and α + β = - [tex]\frac{3}{2}[/tex] = - [tex]\frac{b}{a}[/tex]
Then a = 2, b = 3 and c = - 9, thus
y = 2x² + 3x - 9
A car covers a distance of 200 m. If its velocity is 20 m/s, calculate the
time taken.
Answer:
10 seconds
Step-by-step explanation:
Distance = 200 m
Velocity = 20m/s
Time =?
[tex]time = \frac{distance}{velocity} \\ time = \frac{200m}{20m/s} \\ time = 10 \: seconds[/tex]
please solve quick as posible
Answer:
m+p/2=n
Step-by-step explanation:
You can't get any other multiplication factor, so the only way is to isolate n, by adding p to m and dividing by 2
Who is estimated at 250 people would attend the movie but 255 people actually attended what is the percent error to the nearest percent of the estimate
Answer:
Percent error = 2%
Step-by-step explanation:
Given:
Expected value = 250
Actual value = 255
Find:
Percent error
Computation:
Percent error = [(Actual value - Expected value)/Expected value]100
Percent error = [(255 -250) / 250]100
Percent error = 2%
Answer:
Its 6% because |E−T||T|×100
=(250−235)|235|×100
=15235×100
=0.0638298×100
=6.38298%
=6.38298%error
Step-by-step explanation: