The product in scientific notation is 8*10^2
<h3>
How to multiply and divide in scientific notation?</h3>
Here we want to find the product between 4*10^6 and 2*10^6, and write that in scientific notation.
First, we can solve the direct product:
(4*10^6)*(2*10^6) = (4*2)*(10^6*10^6)
Here we used the fact that we can multiply in any order we want.
Now we will use the property:
a^n*a^n = a^{n + m}
(4*2)*(10^6*10^6) = 8*10^{6 + 6} = 8*10^12
The correct option is the second one, counting from the top.
If you want to learn more about scientific notation:
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D= # of dimes
q= # of quarters
QUANTITY EQUATION:
d + q= 64
COST EQUATION:
0.10d + 0.25q= $9.25
STEP 1:
multiply quantity equation by -0.10 to be able to eliminate the d term in step 2
(-0.10)(d + q)= (-0.10)(64)
-0.10d - 0.10q= -6.40
STEP 2:
add equation from step 1 to cost equation to eliminate the d term and solve for q
Add
0.10d + 0.25q= $9.25
-0.10d - 0.10q= -6.40
0.15q= 2.85
divide both sides by 0.15
q= 19 quarters
STEP 3:
substitute q value in step 2 into either original equation to find d value
d + q= 64
d + 19= 64
subtract 19 from both sides
d= 45 dimes
CHECK:
0.10d + 0.25q= $9.25
0.10(45) + 0.25(19)= 9.25
4.50 + 4.75= 9.25
9.25= 9.25
ANSWER: There are 45 dimes and 19 quarters.
Hope this helps! :)
Answer:
20
Step-by-step explanation:
4(d+7)
Let d= -2
4 ( -2 +7)
Parentheses first
4( 5)
Multiply
20
9514 1404 393
Answer:
(b) T(x, y) -> (x-3, y-6)
Step-by-step explanation:
Each image point is 3 left and 6 down from the corresponding pre-image point. That is -3 is added to each x-value, and -6 is added to each y-value. That transformation is represented by ...
T(x, y) ⇒ (x-3, y-6)
Area of a triangle is A = (1/2) (b) (h). Here we are given A and b and need to find h.
A = 24 ft^2 = (1/2) (4 ft) (height)
24 = 2(height) => height is 12 ft (answer)