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9966 [12]
3 years ago
11

Select the problems which show the correct answers. (1.12 x 105) (6.06 x 105) Answer: 6.79 x 1010 (2 x 101)(3.0 x 101) Answer: 6

.0 x 101 (2.775 x 10−4) (4.775 x 104) Answer: 1.325 x 100 5 8.14 x 102 Answer: 6.14 x 10−3

Mathematics
2 answers:
Arisa [49]3 years ago
6 0
Since multiplication is commutative, we can rearrange the problem: 
(1.12*10^5)(6.06*10^5) = (1.12*6.06)(10^5*10^5)
Using the properties of exponents, we have:
(1.12*6.06)(10^10)
\\=6.7872*10^10

Again, multiplication is commutative, so we rearrange the problem; then we use the product property of exponents:
(2*10^1)(3*10^1)
\\=(2*3)(10^1*10^1)
\\=6*10^2

(2.775*10^-^4)(4.775*10^4)
\\=(2.775*4.775)(10^-^4*10^4)
\\=(2.775*4.775)(10^0)
\\=(2.775*4.775)(1)
\\=2.775*4.775=13.250625=1.3250625*10^1

5(8.14*10^2)=(5*8.14)(10^2)=40.7*10^2=4.07*10^3
lisov135 [29]3 years ago
5 0

Answer:

The answer is A and D,I did this on usatestprep

Step-by-step explanation:

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Tom's coach keeps track of the number of plays that Tom carries the ball and how many yards he gains. Select all the statements
s344n2d4d5 [400]

Answer:

The dependent variable is the number of plays he carries the ball.

The independent variable is the number of touchdowns he scores.

The dependent variable is the number of yards he gains.

Step-by-step explanation:

Tom's coach keeps track of the number of plays that Tom carries the ball and how many yards he gains. Select all the statements about independent and dependent variables that are true.

The dependent variable is the number of plays he carries the ball.

The independent variable is the number of plays he carries the ball.

The independent variable is the number of touchdowns he scores.

The dependent variable is the number of yards he gains.

The dependent variable is the number of touchdowns he scores.

y = kx

y = dependent variable. it is the variable that is explained by the dependent variable

x = is the variable that explains the dependent variable

6 0
3 years ago
Yesterday I drove 150 minutes at a speed of 100 miles/h. How many miles did I drve?​
krok68 [10]

Answer: 250 miles

Step-by-step explanation:

I am not sure what grade level you are, but this is how it is done in college.

I hope it can give you an idea and be of some help.

First you have to convert 150 minutes to hours. Then you multiply your new hours to 100 miles.

150 minutes x <u>     1 hour     </u> x<u>       100 miles    </u>= 250 miles

                           60 mins.              1 hour

3 0
3 years ago
Help asaaaap explain please!!!!!
mariarad [96]

Answer:

C

Step-by-step explanation:

Once

\sqrt{xy} = 6

We know that xy = 36

There are infinity values for x, y, but considering x, y \in \mathbb{Z}

Below we have all the solutions for x, y

Negative:

\\x = -36 \text{ and } y = -1\\x = -18 \text{ and } y = -2\\x = -12 \text{ and }  y = -3\\x = -9 \text{ and }  y = -4\\x = -6 \text{ and }  y = -6\\x = -4 \text{ and }  y = -9\\x = -3 \text{ and }  y = -12\\x = -2 \text{ and }  y = -18\\x = -1 \text{ and }  y = -36\\

Positives:

x = 36 \text{ and } y = 1\\x = 18 \text{ and } y = 2\\x = 12 \text{ and }  y = 3\\x = 9 \text{ and }  y = 4\\x = 6 \text{ and }  y = 6\\x = 4 \text{ and }  y = 9\\x = 3 \text{ and }  y = 12\\x = 2 \text{ and }  y = 18\\x = 1 \text{ and }  y = 36\\

We can see that x + y \neq 18

6 0
3 years ago
If tanA = 1/2 then evaluate cos A/sinA +sinA /1+cosA​
Deffense [45]

Answer:

√5.

Step-by-step explanation:

Tan A = 1/2 means that the right triangle containing angle A has legs of length 1 and 2 units. So the hypotenuse  = √(1^2 + 2^2) = √5  (using the Pythagoras theorem). The side opposite to < A = 1 unit and the adjacent side = 2 (as tan = opposite / adjacent).

so cos A =  adjacent / hypotenuse =   2/√5.

and sin A = opposite / hypotenuse = 1 / √5

cos A / sin A = 2/√5 /  1/ √5 =  2.

sin A / (1 + cos A) =  1/√5 (1 + 2/ √5)

=  1 / √5 ( (√5 + 2) /√5)

= 1 / (√5 + 2)

So the answer is:

2  +   1 /(√5 + 2).

We can simplify it further by multiplying top and bottom of the fraction by the complement of √5 + 2 which is √5 - 2.

2 + 1 / (√5 + 2)

= 2(√5 + 2) + 1 / (√5 + 2 )

= { 2(√5 + 2) + 1 } /  (√5 + 2)

Multiplying this by  √5 - 2 / √5 - 2 we get:

(2(5 - 4) + √5 - 2) /  (5 -4)

=  2 + √5 - 2 / 1

= √5.

3 0
3 years ago
Name the consecutive (same side) exterior angles and interior angles
konstantin123 [22]

Answer:

<u> Consecutive Interior Angles </u>

Consecutive  interior angles equal 180 degrees and they are the ones in between(inside) the parallel lines, so that means that these angles..

∠2+∠9= 180

∠4+∠11= 180

∠6+∠13= 180

∠8+∠15= 180

<u> Consecutive Exterior Angles </u>

Consecutive exterior angles also equal 180 degrees, but they are on the outside of the parallel lines. They are...

∠1+∠10= 180

∠3+∠12= 180

∠5+∠14= 180

∠7+∠16= 180

3 0
3 years ago
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