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balandron [24]
3 years ago
13

Write the expression in exponential form. (find a and b)

Mathematics
1 answer:
aliya0001 [1]3 years ago
4 0

Answer:

a = 8

b = 5

Step-by-step explanation:

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1)simplify the expression (2x)^4 2)the perimeter of a rectangular is twice the sum of its length and its width. the perimeter is
Marta_Voda [28]
(2x)^4=16x^4
------------------------------------------
2(l+w)=16\\
l=2w+2\\\\
2(2w+2+w)=16\\
6w+4=16\\
6w=12\\
w=2\\\\
l=2\cdot2+2\\
l=6

-------------------------------------------
-3+yi=x+6i\Rightarrow x=-3 \wedge y=6
5 0
3 years ago
How do I find out the measure of the angles?
-Dominant- [34]
Use a protractor. Place the whole on the dot of the angle and you should know how to do the rest.
5 0
3 years ago
Which expression is equivalent to 10a + 6?
victus00 [196]
There are a number of expressions that are equivalent to 10a+6.
To find them, you simply have to list the multiples of both 10 and 6.
10- 10 20 30 40 50 60 70 80 90 100
6- 6 12 18 24 30 36 42 48 54 60.
Then, when you multiply the fraction by anything, whether this is 2, 3 or 10, you just have to do this to both parts. 
All of the following expressions are equivalent to 10a+6
20a+12, 30a+18, 40a+24, 50a+30, 60a+36, 70a+42, 80a+48, 90a+54, 100a+60

Or, if you're looking to simplfy, then you have to find a common multiple, which is 2. Therefore, 2 goes outside of the bracket, and you then have to divide 10 by 2 to find out what goes inside the brack. 10a/2= 5a. 6/2=3, therefore, in a bracket, it becomes 2(5a+3)

Hope this helps :) 

8 0
3 years ago
Read 2 more answers
The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. What is
alexgriva [62]
<h2>Answer:</h2>

<em>Rounded to the nearest hundredth the volume of the composite figure is:</em>

<em>1308 33 cubic millimeters</em>

<h2>Explanation:</h2>

Hello! I wrote the complete question in a comment above. The volume of a cylinder is defined as:

V_{c}=\pi r^2 h \\ \\ r:radius \\ \\ h:height

While the volume of half a sphere is:

V_{hs}=\frac{2}{3}\pi r^3

Since we have 2 half spheres, then the volume of these is the same as the volume of a sphere:

V_{s}=\frac{4}{3}\pi r^3

Then, the composite figure is:

V=\pi r^2 h +\frac{4}{3}\pi r^3 \\ \\ V=\pi r^2(h+\frac{4}{3}r)

The radius of the cylinder is the same of the radius of each half sphere. So:

r=5mm \\ \\ h=10mm \\ \\ \\ V=(3.14) (5)^2((10)+\frac{4}{3}(5)) \\ \\ V=25(3.14)(10+\frac{20}{3}) \\ \\ \boxed{V\approx 1308.33mm^3}

7 0
3 years ago
Can someone please help me with the “Challenge” question??
IRINA_888 [86]

Answer:

12.5

Step-by-step explanation:

A 10x10 grid would have 100 units. If you divide it into 8 equal units you would do:

100 / 8

Which gets you, 12.5

4 0
3 years ago
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