MATHEMATICS COLLEGE

What is (6x10^6)(4x10^-1) ?

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

Multiply the 6 and 4 together. 6*4 = 24

The next part is a bit tricky. Add the powers on the base 10. Keep the base 10.

10^(6 - 1) = 10^5

Now put the two parts together. 24 * 10^5

The number in front of the 10 must be between 1 and 10.

So 24 can be written as 24 = 2.4 * 10^1

2.4 * 10^1 * 10^5 = 2.4 * 10^(5 + 1) = 2.4 * 10^6

Related Questions

Interpret the regression coefficients. Fill in the blanks below. The [a. coefficient of determination b. correlation coefficient intercept slope coefficient] is the estimated amount of a purchase if time spent viewing the online catalog were zero. The a. intercept b. coefficient of determination c. slope coefficient d. correlation coefficient] is the estimate of amount that a purchase changes for one extra minute spent viewing the online catalog. b. Compute the coefficient of determination and interpret its meaning. Fill in the blanks below. The [a. proportion b. amount] of the total variation in purchases that can be explained by variation in the minutes spent viewing the? on-line catalog is equal to the coefficient of? determination, which is ____. (Round to three decimal places as needed) State the conclusion. Fill in the blanks below. [a. Do not Reject b. Reject] the null hypothesis. There is [a. sufficient b. insufficient] evidence to support the claim that the overall model is significant. The p-value is ____. (Round to three decimal places as needed.) State the conclusion. Fill in the blanks below. a.Do not Reject b. Reject c. the null hypothesis. There is a. sufficient b. insufficient evidence to support the claim that the overall model is significant. Determine the p-value. The p-value is ____. (Round to three decimal places as needed.) State the conclusion. Fill in the blanks below. [a. Reject b. Do not Reject] the null hypothesis. There is [a. insufficient b. sufficient] evidence to support the claim that the regression slope coefficient is not equal to zero.
11 m 40 cm + 58 m 30 cm
Classify the angle as acute, right, obtuse, or straight.
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which of the following statistic measures the most frequently occuring value in a set of data A.) range B.) mean C.) mode D.) median ​

Answers

Answer:

This is mode defined

Step-by-step explanation:

Enter the range of values for x

Answers

Greetings from Brasil...

See the attached figure. The smaller the θ angle, the smaller the AB side will be. If the angle θ = 90º, then AB = 25. As θ < 90, then AB < 25

5X - 10 < 25

5X < 25 + 10

X < 35/5

X < 7

The AB side can be neither zero nor negative. So

5X - 10 > 0

5X > 10

X > 10/5

X > 2

2 < X < 7

Suppose that the value of a stock varies each day from $12.82 to $33.17 witha uniform distribution.
Find the third quartile; 75% of all days the stock is below what value?

Answers

Answer:

$28.08

Step-by-step explanation:

$33.17 - $12.82 = $20.35

75% of $20.35 = $15.26

$15.26 + $12.82 = $28.08

Can anyone help me plzzzzz

Answers

Step-by-step explanation:

cmon man its a blank screen

Show that W is a subspace of R^3.

Answers

Answer:

Check the two conditions of Subspace.

Step-by-step explanation:

If W is a Subspace of a vector space, V then it should satisft the following conditions.

1) The zero element should be in W.

Zero element can be different for different vector spaces. For examples, zero vector in $ \math{R^2} $ is (0, 0) whereas, zero element in $ \math{R^3} $ is (0, 0 ,0).

2) For any two vectors, $ w_1 $ and $ w_2 $ in W, $ w_1 + w_2 $ should also be in W.

That is, it should be closed under addition.

3) For any vector $ w_1 $ in W and for any scalar, $ k $ in V, $ kw_1 $ should be in W.

That is it should be closed in scalar multiplication.

The conditions are mathematically represented as follows:

1) 0$ \in $ W.

2) If $ w_1 \in W; w_2 \in W $ then $ w_1 + w_2 \in W $.

3) $ \forall k \in V, and \hspace{2mm} \forall w_1 \in W \implies kw_1 \in W

Here V = $ \math{R^3} $ and W = Set of all (x, y, z) such that $ x - 2y + 5z = 0 $

We check for the conditions one by one.

1) The zero vector belongs to the subspace, W. Because (0, 0, 0) satisfies the given equation.

i.e., 0 - 2(0) + 5(0) = 0

2) Let us assume $ w_1 = (x_1, y_1, z_1) $ and $ w_2 = (x_2, y_2, z_2) $ are in W.

That means: $ x_1 - 2y_1 + 5z_1 = 0 $ and

$ x_2 - 2y_2 + 5z_2 = 0 $

We should check if the vectors are closed under addition.

Adding the two vectors we get:

$ w_1 + w_2 = x_1 + x_2 - 2(y_1 + y_2) + 5(z_1 + z_2) $

$ = x_1 + x_2 - 2y_1 - 2y_2 + 5z_1 + 5z_2 $

Rearranging these terms we get:

$ x_1 - 2y_1 + 5z_1 + x_2 - 2y_2 + 5z_2 $

So, the equation becomes, 0 + 0 = 0

So, it s closed under addition.

3) Let k be any scalar in V. And $ w_1 = (x, y, z) \in W $

This means $ x - 2y + 5z = 0 $

$ kw_1 = kx - 2ky + 5kz $

Taking k common outside, we get:

$ kw_1 = k(x - 2y + 5z) = 0 $

The equation becomes k(0) = 0.

So, it is closed under scalar multiplication.

Hence, W is a subspace of $ \math{R^3} $.

Solbe for x : x-1/x+3x+3=0​

Answers

Answer:

x=1/4 or x=-1

Step-by-step explanation:

x−

1

x

+3x+3=0

4x2+3x−1

x

=0

Step 1: Multiply both sides by x.

4x2+3x−1=0

(4x−1)(x+1)=0(Factor left side of equation)

4x−1=0 or x+1=0(Set factors equal to 0)

x=

1

4

or x=−1

Check answers. (Plug them in to make sure they work.)

x=

1

4

(Works in original equation)

x=−1(Works in original equation)

Answer:

x=

1

4

or x=−1
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