Formula-
If a set has “n” elements, then the number of subset of the given set is 2n and the number of proper subsets of the given subset is given by 2n-1. Consider an example, If set A has the elements, A = {a, b}, then the proper subset of the given subset are { }, {a}, and {b}
Symbol that can be used-
The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of".
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Model the situation.
The sum of two consecutive integers is 85. Find the integers that satisfy this condition.
Answer choices
A) 1 + 2 = 85
B) x+(x+1)=85
C) x+x=85
D) x+2x=85
Answer:
Option B is correct
Step-by-step explanation:
Let the number be x
Second number = x + 1
Sum = 85
x + x + 1 = 85
2x + 1 = 85
2x = 85 - 1
2x = 84
x = 84/2 = 42
Numbers are 42 and 43
Answer:
B) x+(x+1)=85
Step-by-step explanation:
Consecutive means in a row
Let x be the first integer
x+1 is the next integer
x+x+1 = 85
Find the midpoint M of the two sets of points
x(9,5) Y(-2, 3)
Answer:
(3.5,4)
Step-by-step explanation:
add and divide by 2
(7,8)
(3.5,4)
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Evaluate the function and simplify.
f(x)=6x^2 -1/x^2
f(-x)=?
Step-by-step explanation:
f(-xl= 6(-x)^2 - 1/(-x)^2
=6x^2- 1/x^2
f(x)= f(-x)
It is an even function
x^2+6x+5-4y-y^2 factorize
Answer:
(x+y+5)(x-y+1)
Step-by-step explanation:
factor by grouping
x^2+6x+5-4y-y^2
x^2+6x+9 - (y^2+4t+4) + 5-9+4
(x+3)^2 - (y+2)^2
(x+3+(y+2))(x+3-(y+2))
(x+y+5)(x-y+1)
Help I need an equation and an answer
39. Ashton and James are the same height. If Ashton's height is represented by (6 + 15x) and ames' height is represented by (6x + 42), find the value of x.
Answer:
x = 4
Step-by-step explanation:
Start by setting the two expressions equal to each other, since they're the same height.
6 + 15x = 6x + 42
Subtract 6x from both sides
6 + 9x = 42
Subtract 6 from both sides
9x = 36
Divide both sides by 9
x = 4
An equation is formed of two equal expressions. The value of x is 4.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that the height of Ashton and James are the same height. Also, Ashton's height is represented by (6 + 15x) and James's height is represented by (6x + 42). Therefore, we can write,
Ashton's height = James' height
6 + 15x = 6x + 42
6 + 15x = 6x + 42
15x - 6x = 42 - 6
9x = 36
x = 36/9
x = 4
Hence, the value of x is 4.
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What is the answer to this question?
The guitar's volume was amplified, but it was hard to hear the notes since it was so loud.
What word or phrase is a signal word that a context clue might be nearby to help determine the meaning of "amplified"?
Step-by-step explanation:
alan walked 5 miles in 2 hours. how far did he walk in kilometers per minute
Answer:
Walking speeds vary depending on age, and health of walkers. However, an average comfortable walking speed is about 5 km per hour and 9km per hour can be achieved by many people. This means that in 30 minutes it should be possible to easily walk 2.5km and in 2 hours it should be possible to walk 10km.
Answer:
0.07929 km/min
Step-by-step explanation:
1 miles is 1.903 km
5 miles is 9.515 km in 2 hours
9.515 /2 = 4.7575 km/h
Then divide th speed value by 60
4.7575 / 60 = 0.07929
What the answer I don’t get Mary at all
Answer:
1
Step-by-step explanation:
By order of operations, we first evaluate the parentheses, which is 2 * 1 = 2. We then evaluate the brackets, which are 3 / 2 = [tex]\frac{3}{2}[/tex]. Finally, [tex]\frac{3}{2}[/tex] * [tex]\frac{2}{3}[/tex] = [tex]\frac{6}{6}[/tex] or 1.
Find the area of a circle with a diameter of 10 feet
Answer:
31.43ft
Step-by-step explanation:
πd=22/7×10ft
=31.43ft
Answer:
78.5 sq feet
Step-by-step explanation:
Diameter = 10 feet
Radius = 5 feet
Area of circle=πr²
= π(5)²
= 25π
= 25 x 3.14
= 78.5 sq feet
Islamic Question That I Need Asap:
Enumerate The Recommendations Of Prophet Muhammad (PBUH) From The Hadeeth Below
“O boy! I will instruct you in some matters. Be mindful of Allah, and He will protect you. Be mindful of Allah, and He will be ever with you. If you beg, beg of Him alone; and if you need assistance, supplicate to Allah alone for help. And remember that if all the people gather to benefit you, they will not be able to benefit you except that which Allah had foreordained for you; and if all of them gather to harm you, they will not be able to afflict you with anything other than that which Allah had predestined against you. The pens had been lifted and the ink had dried up.
Answer:
[tex]thank \: you[/tex]
(2.5*10^3)*3.4*10^2 (in scientific notation)
Answer:
8.5×10⁵Step-by-step explanation:
2.5×10³ × 3.4×10² = (2.5×3.4) × 10³⁺² = 8.5×10⁵[tex]\\ \rm\longmapsto 2.5\times 10^3\times 3.4\times 10^2[/tex]
[tex]\boxed{\sf a^m\times a^n=a^{m+n}}[/tex]
[tex]\\ \rm\longmapsto 2.5\times 3.4\times 10^3\times 10^2[/tex]
[tex]\\ \rm\longmapsto 8.5\times 10^{3+2}[/tex]
[tex]\\ \rm\longmapsto 8.5\times 10^5[/tex]
Sorry for small handwriting
Step-by-step explanation:
4 is added to each number
A/q ,
5x+4/6x+4 = 7/8
Now , cross multiply
7/6x + 4) = 8 (5x + 4 )
42x + 28 = 40x + 32
42x - 40x = 32 - 28
2x = 4
x= 4/2
x= 2
answer :
5x = 10
6x = 12
Step-by-step explanation:
hope it helps.u........
Which expression is equivalent to a + a"?
O amin
aman
amin
third option:- a^m-n
your welcome.
rob has 31 pounds of chocolates he divides it into 5 equal portions .how much does each portion weigh?
a. 31 ib
b. 5 ib
c. 18 ib
b. 9 ib
What is the remainder of f(x)=x^3+x^2-9x+23 When divided by binomial X +4
Answer:
The remainder is 11.
Step-by-step explanation:
We are given the polynomial:
[tex]f(x) = x^3 + x^2 - 9x + 23[/tex]
And we want to find its remainder when the polynomial is divided by:
[tex]x + 4[/tex]
We can use the Polynomial Remainder Theorem. According to the PRT, if we divide a polynomial P(x) by a binomial in the form (x - a), the remainder will be given by P(a).
In this case, our binomial is (x + 4) or (x - (-4)). Hence, a = -4.
Then the remainder will be f(-4):
[tex]\displaystyle \begin{aligned}f(-4) &= (-4)^3 + (-4)^2 - 9(-4) + 23 \\ &= 11 \end{aligned}[/tex]
In conclusion, the remainder of the operation is 11.
Simpson Office Furniture pays Betty Thomas a $2740 monthly salary plus a 11% commission on merchandise she sells each month. Assume Betty's sales were $94100 for last month. Calculate the following amounts: a. Amount of Commission: b. Gross Pay:
Answer:
a. 11/100* 94100 =$10,351
b.10,351+ 2740= $13,091
A cake at a child's birthday party is cut into 12 even pieces. Seven pieces are served to the children and each child eats half of a piece. How much cake was eaten?
982,510 books were downloaded in one year. Round this number to the nearest hundred thousand to estimate how many books were downloaded in one year. Use a numberline to show your work
Answer:
1,000,000.
Step-by-step explanation:
You are rounding to the nearest hundred thousand place value, which will be underlined and bolded:
982,510
Note that when you round, you look at the digit directly next to the place value you are solving for. Note:
If the value of the digit is 5 or greater, round up.
If the value of the digit is 4 or less, round down.
In this case, the value directly next to the place value is the ten thousands place, which has the value of 8. Because 8 is greater than 5, you will round up.
982510 rounded to the nearest hundred thousand is 1,000,000.
~
For the numberline, simply plot the points on both end of the spectrum, with 0 being on the left and x value on the right. Plot 1,000,000 corresponding to the value given on the right.
~
How much cat food do all of the cats eat in one day?
Help!! Truth table.
Thank you.
Answer:
these statements are not logically equivalent.
Step-by-step explanation:
steps are in picture.
If you have any question about it you can ask freely.
what is the focus of x2 - 6x + 8y = -9
Answer:
(3, -2)
Step-by-step explanation:
In order to find the focus of a parabola, you must know that the equation of a parabola in a vertex form is y=a(x−h)2+k where a represents the slope of the equation. From the formula, we can see that the coordinates for the focus of the parabola is (h, k+1/4a).
Yossi used to have a square garage with 354 ft² of floor space. He recently built an addition to it. The garage is still a square, but now it has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side?
The odometer on your car read 53,305 at this time last year. It now reads 79,964. Estimate the number of miles your car has been driven during the past year. (Estimate to the nearest thousand miles.)
Answer:
26659
Step-by-step explanation:
subtracting the recent meter and the last time meter
2 fnd the circumference of a circle in which diametey 42cm.
Answer:
132cm
Step-by-step explanation:
circumference = [tex]\pi \\[/tex]d = [tex]\pi[/tex](42) = 131.9468 ≈ 132
What is the distance in meters of an object that has an angular diameter of 30 arcseconds and a linear diameter of 10 cm
We have that the distance in meters of the object is
[tex]d=687.55m[/tex]
From the Question we are told that
Angular diameter [tex]d_a= 30 arcseconds[/tex]
Linear diameter [tex]d_l= 10 cm=0.10m[/tex]
Generally the equation for Linear diameter is mathematically given as
[tex]d_l=\frac{d_a*d}{206265}[/tex]
Therefore
[tex]d=\frac{0.10m*206265}{30}[/tex]
[tex]d=687.55m[/tex]
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pls help
write the sentence as an equation
14 is 248 fewer than Q
Answer:
Step-by-step explanation:
14<Q-248
Answer:
14=Q-248
Step-by-step explanation:
help me solve this problem
Step-by-step explanation:
i don't get the question
Suppose a right triangle has a
hypotenuse length of 12. If one of
the legs has length 5, what would
the length of the last leg be?
Answer:
See the last two lines below. I don't know which one you want.
Step-by-step explanation:
hypotenuse = 12
One leg = 5
other leg = x Substitute into a^2 + b^2 = c^2
x ^2 + 5^2 = 12^2
x^2 + 25 = 144 Subtract 25 from both sides
x^2 = 144 - 25 Combine
x^2 = 119 Take the square root of both sides
x = sqrt(119)
x = 10.91
Plss help me! Brainlist! Pls!!! I’m so confused!!!!
Reduce to simplest form.
-1/4-(-3/5)=