Find the error with subject-verb agreement. Select the incorrect verb and type it correctly.

Question

Hannah's
favorite
hiking
trail
wind
from
the
base
of
Mt
Diablo
up
to
the
summit
which
offers
breathtaking
views
of
the
surrounding
area

Answer 1

The incorrect verb in the sentence is "wind." It should be "winds."

The corrected phrase is: "Hannah's favorite hiking trail winds from the base of Mt Diablo up to the summit..."

Answer 2

Simplify.
512
1
3

Answer 3

To simplify the fraction \( \frac{512}{1} \times 3 \), we first note that any number divided by 1 is the number itself. Therefore, \( \frac{512}{1} = 512 \).

Now, we multiply:

\[ 512 \times 3 = 1536. \]

So, the simplified result is \( 1536 \).

Answer 4

Not quite --- we'll make sure to work on that later!

Answer 5

I apologize for the misunderstanding! It seems I misinterpreted what you wanted. If you meant to simplify the fraction \( \frac{512}{3} \), it would remain as \( \frac{512}{3} \) since 512 and 3 have no common factors.

If you have a specific calculation or problem in mind, please provide more details, and I’ll be happy to help correctly!

Answer 6

Divide. Write your answer in scientific notation.
4×10
–
2
2×10
–
6

Answer 7

To divide \( 4 \times 10^{-2} \) by \( 2 \times 10^{-6} \), you can follow these steps:

1. Divide the coefficients: \[ \frac{4}{2} = 2 \]

2. Subtract the exponents of the powers of 10: \[ 10^{-2} \div 10^{-6} = 10^{-2 - (-6)} = 10^{-2 + 6} = 10^{4} \]

3. Combine the results: \[ 2 \times 10^{4} \]

Therefore, the final answer in scientific notation is: \[ 2 \times 10^{4} \]

Answer 8

Good, you've got it!

Answer 9

Thank you! I'm glad we got it right. If you have any more questions or if there's anything else you'd like to work on, feel free to ask!

Answer 10

Select all the expressions that are equivalent to 797(
–
5).

Answer 11

To find expressions that are equivalent to \( 797(-5) \), we can simplify the expression:

1. Calculate the product: \[ 797 \times (-5) = -3985 \]

Next, we can look for equivalent expressions to \(-3985\). Here are some that could be equivalent:

• \(-3985\)
• \( -1 \times 3985 \)
• \( 3985 \times (-1) \)
• \( -4000 + 15 \) (since -4000 + 15 = -3985)
• \( -4000 + 5 + 20 \) (since -4000 + 5 + 20 = -3985)

If you have a specific set of expressions you're considering for equivalence, please provide those, and I can help identify which ones are equivalent to \( 797(-5) \).

Answer 12

Simplify.
(
–
216)
1
3

Answer 13

To simplify \( (-216)^{\frac{1}{3}} \), we are looking for the cube root of \(-216\).

Calculation of Cube Root:

1. Find the cube root of \( -216 \): The cube root of a negative number is also negative. The cube root of \( 216 \) is \( 6 \) since \( 6 \times 6 \times 6 = 216 \).

2. Therefore, the cube root of \(-216\) is: \[ (-216)^{\frac{1}{3}} = -6 \]

Final Result:

The simplified result is: \[ -6 \]

Answer 14

Which of the following are irrational numbers?

pi, 0, 34.91 and 67

Answer 15

To identify which of the given numbers are irrational, we need to understand the definition of irrational numbers. An irrational number cannot be expressed as a fraction of two integers, and its decimal expansion is non-terminating and non-repeating.

Now, let's examine each of the provided numbers:

1. π (pi): This is an irrational number because it cannot be expressed as a fraction and its decimal representation (approximately 3.14159...) is non-terminating and non-repeating.

2. 0: This is a rational number because it can be expressed as \( \frac{0}{1} \).

3. 34.91: This is a rational number because it can be expressed as \( \frac{3491}{100} \).

4. 67: This is also a rational number because it can be expressed as \( \frac{67}{1} \).

Conclusion:

The only irrational number from the list is π (pi). The other numbers (0, 34.91, and 67) are rational.

Answer 16

Simplify.
(
–
512)
1
3

Answer 17

To simplify \( (-512)^{\frac{1}{3}} \), we are looking for the cube root of \(-512\).

Calculation of Cube Root:

1. Find the cube root of \(-512\): The cube root of a negative number is negative. We can find the cube root of \( 512 \).

2. Since \( 8 \times 8 \times 8 = 512 \), we know: \[ (-512)^{\frac{1}{3}} = -8 \]

Final Result:

The simplified result is: \[ -8 \]