Write 7340 in standard for

Answers

Answer 1

Answer: The standard from means writing in the most simplified form i.e. 7340 = 7000+300+40 is the standard from of the number 7340. Sometimes, scientific notation can also be called as standard form. Then, we write in powers of 10. i.e. 7340 = 7.340 *10^3

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7. What is an expression equivalent to 5(3x+2) using the distributive property?

Answers

Answer:

15x + 10

Step-by-step explanation:

Answer:

15x + 10

Step-by-step explanation:

The data set represents the number of rings each person in a room is wearing. 0, 2, 4, 0, 2, 3, 2, 8, 6 What is the interquartile range of the data?2
3
4
6

Answers

d1,..,d9 = 0,0,2,2,2,3,4,6,8 //there are 9 values, in ascending order
Q2 (median) = d5 = 2 //value in the middle
Q1 = (d2+d3) / 2 = (0+2)/2 = 1
(Q1 is middle value of d1,d2,d3,d4, but there is no middle element among four elements, that is why arithmetic mean is taken)
Q3 = (d7+d8) / 2 = (4+6)/2 = 5
interquantlie range = IQR = Q3 - Q1 = 5 -1 = 4
answer: 4

Answer:

Option C.

Step-by-step explanation:

The given data set is

0, 2, 4, 0, 2, 3, 2, 8, 6

Arrange the data in ascending order.

0, 0, 2, 2, 2, 3, 4, 6, 8

Divide the data set in 4 equal parts.

(0, 0), (2, 2), 2,( 3, 4), (6, 8)

Now, we get

$Q_1=(0+2)/(2)=1$

$Q_2=Median=2$

$Q_3=(4+6)/(2)=5$

The interquartile range formula:

$IQR=Q_3-Q_1$

$IQR=5-1$

$IQR=4$

The interquartile range of the data is 4. Therefore, option C is correct.

I need help solving x^2+3xy-y^2=12 and x^2-y^2=-12

Answers

$substitute:x^2-y^2=-12\ to\ x^2+3xy-y^2=12\n\n3xy-12=12\n3xy=12+12\n3xy=24\ \ \ \ \ /:3\nxy=8\to x=(8)/(y)\n\nsubstitute\ to\ x^2-y^2=-12\n\n\left((8)/(y)\right)^2-y^2=-12\n\n(64)/(y^2)=y^2-12$

$(64)/(y^2)=(y^2-12)/(1)\n\ny^2(y^2-12)=64\n\ny^4-12y^2-64=0\n\nsubstitute:y^2=t > 0\n\nt^2-12t-64=0$

$a=1;\ b=-12;\ c=-64\n\Delta=b^2-4ac\to\Delta=(-12)^2-4\cdot1\cdot(-64)=144+256=400\n\nt_1=(-b-\sqrt\Delta)/(2a);\ t_2=(-b+\sqrt\Delta)/(2a)\n\n\sqrt\Delta=√(400)=20\n\nt_1=(12-20)/(2\cdot1)=(-8)/(2)=-4 < 0;\ t_2=(12+20)/(2\cdot1)=(32)/(2)=16\n\ny^2=16\Rightarrow y=\pm√(16)\Rightarrow y=-4\ or\ y=4\n\nx=(8)/(-4)=-2\ or\ x=(8)/(4)=2\n\nSolution:x=-2\ and\ y=-4\ or\ x=2\ and\ y=4$

Can i please get help with this question?

Answers

The answer is 3.88888888889

The answer is 35/9

You first would remove the parentheses

Next you see that there is a subtraction symbol and a negative symbol right beside each other. You cant have 2 negatives side by side, so you change the symbol to addition

The problem then looks like this: 5/9 + 3 1/3

To make the problem easier you change the mixed number (3 1/3) to an improper fraction which is 10/3

Because its 5/9 + 10/3 you multiply 10 and 3 and get 30, and you keep the LCD (least common denominator) which is 9

Finally you add 5 + 30 = 35 and have 9 as your denominator

35/9 or 3 8/9

What is -(c-4)=5?so what is 'c'

Answers

$-(c-4)=5 \n \n -c + 4 = 5 \n \n 4 - c = 5 \n \n -c = 5 - 4 \n \n -c = 1 \n \n c = -1 \n \n$

The final result is: c = -1.

-(c-4)=5
c-4=-5
c=-1

Check answer:
-(-1-4)=5
-(-5)=5
5=5

What is the value of x?

Answers

Answer:

Step-by-step explanation:

X+y=X so the answers x

The value of x using the two rectangles is 8.

We have,

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

Rectangle A:

Area

= length x width

= 6 x 4

=24 cm²

Rectangle B:

Area

= length x width

= 3x cm²

Now,

The area of both triangles is the same.

This means,

Area of first rectangle = Area of the second rectangle

24 = 3x

x = 24/3

x = 8

Thus,

The value of x using the two rectangles is 8.

Learn more about rectangles here:

brainly.com/question/15019502

#SPJ4

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