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Rainbow [258]
2 years ago
8

Consider 7×10^3. Write a pattern to find the value of the expression

Mathematics
2 answers:
kkurt [141]2 years ago
5 0

Answer:

7*10*10*10 = 7000

7*10 = 70

70*10 = 700

700*10 = 7000

Step-by-step explanation:

The given expression is:

7*10^3

Here 10^3 means that 10 will be multiplied 3 times:

7*10*10*10 = 7000

How did we get 7000?

7*10*10*10 = 7000

7*10 = 70

70*10 = 700

700*10 = 7000

We can also say that there are 7  1000s in 7000....

Strike441 [17]2 years ago
5 0

Answer: Hi! the notation 7×10^3 means 7*10*10*10, where 3 is the exponent.

You can think this notation as how many zeros you can add to the left (or right if the exponent is negative) of a number.

so 7×10^3 has an exponent equal to 3, so you add 3 zeros and get : 7000.

if we do the multiplication, 7*10*10*10 = (7*10)*10*10 = 70*10*10 = (70*10)*10 = 700*10 = 7000.

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Find the center and radius of the circle with the equation (x+5)^2+(y-2)^2=25
chubhunter [2.5K]

Answer:The center is (-5,2)

The radius is 5

Step-by-step explanation:

Equation of a circle is:

(x-h)^2+(y-k)^2=r^2

(x+5)^2+(y-2)^2=5^2

Comparing both equations we get :

The center (-5,2)

The radius is 5

8 0
2 years ago
Can someone please help me I don’t understand this. I keep getting it wrong
kicyunya [14]

Answer:

K- (-8, -2)

L- (2, -2)

J- (-8, -5)

M- (2, -5)

Step-by-step explanation:

Vertices refer to the points where the lines connect, or corners. In this problem they're represented by K, L, J, and M.

The current coordinates are-

K- (-8, -4)

L- (2, -4)

J- (-8, -7)

M- (2, -7)

Since the Y coordinate refers to vertical distance and the X coordinate refers to horizontal distance, translating them two units up would involve adding positive two to each y coordinate.

Therefore the new coordinates would be

K- (-8, -2)

L- (2, -2)

J- (-8, -5)

M- (2, -5)

Hope this was helpful! Sorry if I messed up askdjasjk

7 0
3 years ago
The slope of the line is m=3/4. One point is (x, 2) and (3,-4)<br> Find X
Viktor [21]

Answer:

x is 11

Step-by-step explanation:

We know the slope (3/4) and a point (3,-4), so we can use point-slope form (y-y1=m(x-x1)

Substitute the numbers into the equation

y--4=3/4(x-3)

simplify

y+4=3/4(x-3)

do the distributive property

y+4=3/4x-9/4

subtract 4 from both sides

y=3/4x-25/4

this is the equation of the line.

Since it says that (x,2) is a point in the equation, we can substitute it into the equation

2=3/4x-25/4

add 25/4 to both sides

33/4=3/4x

multiply by 4/3

11=x

we can double check by plugging (11,2) into the equation of the line.

2=3/4(11)-25/4

2=33/4-25/4

2=2

it works! :)

Hope this helps!

7 0
2 years ago
What is the rate of change for a linear function that passes through the points (8, -10) and (-6, 14)
Anna71 [15]

Answer: m=-1.714

Step-by-step explanation:

By definition, the slope of the line is described as "Rate of change".

You need to use the following formula to calcualte the slope of the line;

m=\frac{y_2-y_1}{x_2-x_1}

In this case you know that the line passes through these two points: (8, -10) and (-6, 14).

Then, you can say that:

y_2=-10\\y_1=14\\\\x_2=8\\x_1=-6

Knowing these values, you can substitute them into the formula for calculate the slope of a line:

 m=\frac{-10-14}{8-(-6)}

Finally, you must evaluate in order to find the slope of this line. You get that this is:

m=\frac{-24}{8+6}\\\\m=\frac{-24}{14}\\\\m=-\frac{12}{7}\\\\m=-1.714

8 0
3 years ago
Help me please I need this done quick
Anna11 [10]
Answer:
1058.4 in^2

Step-by-step explanation:
Find the surface areas of the rectangular prism and the triangular prisms separately.
Triangular: S = (1/2)lP+B, where l is slant height, P perimeter, and B base area.
14(4)= 56 perimeter of base
13 slant height
B = 14x14 = 196
put together:
S = (1/2)(13 x 56) + 196
S = 560 in^2

Now the rectangular prism
S = 2lw + 2lh + 2wh, where l is length, h height, w width. (delete the first 2lw since they share one side/they're combined shapes.
S = 2(14x8.9) + 2(14x8.9)
S = 498.4 in^2

Add them together: 498.4 + 560 = 1058.4 in^2
7 0
2 years ago
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