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2 years ago

13

The science teacher has to write report cards for all her students. It takes 1/8 of an hour to complete one report card. How man

y report cards can the teacher complete in 14 hours?

1 answer:

Vinvika [58]2 years ago

4 0

Answer:

112

Step-by-step explanation:

If she takes 1/8 of an hour to complete one then she can finish 8 in 1 hour.

8 x 14 = 112

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Given the graph of a function, you can perform the horizontal line test to determine whether the inverse is also a function .

ipn [44]

Answer: True (APEX)

Hope this helped even tho I’m late

6 0

3 years ago

Tim bought 7 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now

EleoNora [17]

99 baseball cards that Tim started with

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3 years ago

Select all the complex numbers in the given table

gayaneshka [121]

The complex number from the table are

$1+\sqrt{-3}, \ 4-3 \sqrt{-16}, \ \frac{3+2 \sqrt{-9}}{7}, \ 9 \sqrt{-\frac{7}{5}}$

Solution:

Let us solve and identify the complex number.

(A) $5-\sqrt{\frac{9}{4}}$

$5-\sqrt{\frac{9}{4}}= 5-\sqrt{\frac{3^2}{2^2}}$

$= 5-\frac{3}{2}$

= 3.5

This is not a complex number.

(B) $1+\sqrt{-3}$

$1+\sqrt{-3}=1+\sqrt{-1\times 3}$

We know that $\sqrt{-1} =i$ .

$1+\sqrt{-3}=1+\sqrt{3}i$

This is a complex number.

(C) $4-3 \sqrt{-16}$

$4-3 \sqrt{-16}=4-3 \sqrt{-1\times 4^2}$

$4-3 \sqrt{-16}=4-3\times4 \sqrt{-1}$

We know that $\sqrt{-1} =i$ .

$4-3 \sqrt{-16}=4-12i$

This is a complex number.

(D) $\frac{2-\sqrt{12}}{5}$

$\frac{2-\sqrt{12}}{5}=\frac{2-2\sqrt{3}}{5}$

There is no –1 in the root.

This is not a complex number.

(E) $\frac{3+2 \sqrt{-9}}{7}$

$\frac{3+2 \sqrt{-9}}{7}=\frac{3+2 \sqrt{-1\times 3^2}}{7}$

We know that $\sqrt{-1} =i$ .

$=\frac{3+6i}{7}$

This is a complex number.

(F) $9 \sqrt{-\frac{7}{5}}$

$9 \sqrt{-\frac{7}{5}}=9 \sqrt{-1 \times \frac{7}{5}}$

We know that $\sqrt{-1} =i$ .

$9 \sqrt{-\frac{7}{5}}=9 \sqrt{ \frac{7}{5}}i$

This is a complex number.

Hence the complex number from the table are

$1+\sqrt{-3}, \ 4-3 \sqrt{-16}, \ \frac{3+2 \sqrt{-9}}{7}, \ 9 \sqrt{-\frac{7}{5}}$

7 0

3 years ago

Tell whether the triangle with the given side lengths is a right triangle. Y/N question

Gennadij [26K]

Yes because,
16^2 + 63^2 = 65^2
By this we can obviously say that,
The sum of the squares of the two sides = the square of hypotenuse
Which makes it a right angle triangle.

6 0

3 years ago

Read 2 more answers

Solve: x^3+3x^2+4x=0

attashe74 [19]

Answer:

x^3 + 3x^2 + 4x = 0

0^3 + 3(0)^2 + 4(0) = 0

Step-by-step explanation:

x = 0

6 0

3 years ago