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2 years ago

1,2,3, or 4 for answer

Mathematics

2 answers:

elena-14-01-66 [18.8K]2 years ago

7 0

1 pi is not rationa;

2. sqrt20 is not rationa;

3.sqrt7 is not rational

4 is the answer

Number four is rational

slava [35]2 years ago

4 0

Answer:

Step-by-step explanation:

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Estimate 43% of 117. (2 points)<br> Show your work to

finlep [7]

Answer:

Let's say 50

Step-by-step explanation:

40% of 100 is 40

50% of 117 is about 59

so number should be a somewhere in between.

8 0

2 years ago

Which shows the correct method for solving the equation below?<br> 1/3 (y-9) =3

lyudmila [28]

Answer:

$y=18$

Step-by-step explanation:

we have

$\frac{1}{3}(y-9)=3$

Multiply by $3$ both sides

$3*(\frac{1}{3}(y-9))=3*3$

$(y-9)=9$

Adds $9$ both sides

$(y-9)+9=9+9$

$y=18$

3 0

3 years ago

Determine whether the following are subspaces of R2×2 : (a) Thesetofall2×2diagonalmatrices (b) The set of all 2 × 2 triangular m

Mrrafil [7]

A vector space $V$ is a subspace of a vector space $W$ if

$V$ is non-empty,
for any two vectors $v_1,v_2\inV$ we have $v_1+v_2\in V$ , and
for any scalar $k$ and $v\in V$ we have $kv\in V$ .

It's easy to show the first condition is met by all the sets in parts (a-g).

(a) is a subspace of $\Bbb R^{2\times2}$ because adding any 2x2 diagonal matrices together, or multiplying one by some scalar, gives another diagonal matrix.

(b) and (c) are also subspaces for the same reasons.

(d) is not a subspace because $\Bbb R^{2\times2}$ because this set of matrices does not contain the zero matrix.

(e), however, is a subspace. Any linear combination of matrices in this set always yields a matrix with 0 in row 1, column 1 entry.

(f) is a subspace. A symmetric matrix is one of the form

$\begin{bmatrix}a&b\\b&c\end{bmatrix}$

Adding two symmetric matrices gives another symmetric matrix:

$\begin{bmatrix}a_1&b_1\\b_1&c_1\end{bmatrix}+\begin{bmatrix}a_2&b_2\\b_2&c_2\end{bmatrix}=\begin{bmatrix}a_1+a_2&b_1+b_2\\b_1+b_2&c_1+c_2\end{bmatrix}$

(g) is not a subspace. Consider the matrices

$\begin{bmatrix}1&0\\0&0\end{bmatrix},\begin{bmatrix}0&0\\0&1\end{bmatrix}$

Both matrices have determinant 0, but their sum is the identity matrix with determinant 1.

4 0

4 years ago

The Function f(x) =15,000(0.88)x represents the value of a car over x years . What is the most appropriate domain for which the

Ksivusya [100]

160 percent of original

5 0

3 years ago

Add 0.5 kg, 50 mg, and 2.5 dg. Reduce the result to grams.

vredina [299]

Answer:

0.25g + 0.05g + 500g = 500.30g

Step-by-step explanation:

The first step is converting everything to grams, by rules of three. Then we add.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

First step: 0.5kg to g

Each kg has 1000g. So

1kg - 1000g

0.5kg - xg

x = 1000*0.5

x = 500g

0.5kg = 500g

Second step: 50mg to g

Each g has 1000mg. So:

1g - 1000mg

xg - 50mg

1000x = 50

$x = \frac{50}{1000}$

x = 0.05g

50mg = 0.05g

Third step: 2.5dg to g

Each g has 10dg. So:

1g - 10dg

xg - 2.5dg

2.5x = 10

$x = \frac{2.5}{10}$

x = 0.25g

2.5 dg = 0.25g

Final step: Add

0.25g + 0.05g + 500g = 500.30g

8 0

3 years ago