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3 years ago

Cheri walked 12 blocks in 36 minutes. What was Cheri's speed per minute?

1 answer:

8 0

Cherish walled 3 blocks in 1 minute.
I know this because 36+÷12=3.
Which three represents the number of blocks walked in one minute.

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The sides of a triangle have lengths 8, 14, and 15. What kind of triangle is it?

BARSIC [14]

It is an acute triangle bc 8 squared + 14 squared is 260 and that is more than 15 squared (225)

3 0

3 years ago

Consider the 3 × 3 matrix A =   0 1 k 2 k −6 2 7 4  . For what values of k is matrix A invertible? (a) k ∈ R (b) all real k

Vanyuwa [196]

Answer:

Step-by-step explanation:

A is invertible if and only if det(A)≠0. Let's compute the determinant of A and find the values k for which it is nonzero.

Using Sarrus's rule, we obtain that

$\det A=0(k)(4)+1(-6)(2)+k(2)(7)-2(k)(k)-7(-6)(0)-4(2)(1)=-12+14k-2k^2-8=-2k^2+14k-20=-2(k^2-7k+10)=2(k-5)(k-2)$

Note that the determinant is a quadratic equation on k, which can be factored as above.

Now the determinant is only zero if k=5 or k=2 (the zeroes of the quadratic polynomial). Therefore, if k≠2,5 the determinant is nonzero so A is invertible.

4 0

3 years ago

Read 2 more answers

Translate the question to proportion. 32% of what number is 27?

pshichka [43]

To solve this kind of problems you would do Is/of and %/100 To solbve you would multiple the two numbers diagonal from each other and divide by the remaining number. So you would do 27 multiplied by 100 divided by 32 to get your answer.

8 0

4 years ago

Read 2 more answers

What is the product of 1.7 × 10−13 and 3.5 × 1025?

kkurt [141]

ANSWER

$3.95 \times {10}^{12}$

EXPLANATION

The first number is

$1.7 \times {10}^{ - 13}$

The second number is

$3.5 \times {10}^{25}$

The product of the above two numbers is
$1.7 \times {10}^{ - 13} \times 3.5 \times {10}^{25}$

We regroup the numbers to obtain,

$(1.7 \times 3.5) \times {10}^{ - 13} \times {10}^{25}$

We now multiply out the expression in the bracket to obtain,

$3.95 \times {10}^{ - 13} \times {10}^{25}$

Recall also that,

${a}^{m} \times {a}^{n} = {a}^{m + n}$

We apply this property to obtain,

$3.95 \times {10}^{ - 13 + 25}$

This finally simplifies to,

$3.95 \times {10}^{12}$

Therefore the correct answer is D.

8 0

4 years ago

Read 2 more answers

4272/6 use partial qutiants to divide

never [62]

Answer:

712

Step-by-step explanation:

$4272/6= 4200/6+72/6\\4272/6= 700 +12\\4272/6=712$

Hope this helps :D

8 0

3 years ago