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2 years ago

you spend 10 mind doing homework then u spend 2 hours watching television as a fraction in simplest form

Mathematics

1 answer:

prohojiy [21]2 years ago

3 0

First it would be 10/120
then to make it into its simplest form you would divide by 10 so:
1/12

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On a parallelogram, the vector from one vertex to another vertex is (9,-2). What is the length of the side?

sertanlavr [38]

Answer: Second Option is correct.

Step-by-step explanation:

Since we have given that

In a parallelogram, the vector from one vertex to another vertex is (9,-2)

So, the co-ordinate of first vertex will be (9,0).

And the coordinate of second vertex will be (0,-2).

As we know the formula for "Distance between two coordinates":

So, The length of the side is given by

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\Distance=\sqrt{(9-0)^2+(0-(-2))^2}\\\\Distance=\sqrt{9^2+2^2}\\\\Distance=\sqrt{81+4}\\\\Distance=\sqrt{85}$

Hence, Second Option is correct.

6 0

3 years ago

Read 2 more answers

Confused on this work

Anit [1.1K]

We know that :

⊕ Sum of the interior angles in a Pentagon should be equal to 540°

⇒ x° + (2x)° + (2x)° + 90° + 90° = 540°

⇒ (5x)° = 540° - 180°

⇒ (5x)° = 360°

$\sf{\implies x^{\circ} = \dfrac{360^{\circ}}{5}}$

⇒ x° = 72°

7 0

2 years ago

Let h(x)=20e^kx where k ɛ R (Picture attached. Thank you so much!)

zloy xaker [14]

Answer:

$k=0$

$\displaystyle \begin{aligned} 2k + 1& = 2\ln 20 + 1 \\ &\approx 2.3863\end{aligned}$

$\displaystyle \begin{aligned} k - 3&= \ln \frac{1}{2} - 3 \\ &\approx-3.6931 \end{aligned}$

Step-by-step explanation:

We are given the function:

$\displaystyle h(x) = 20e^{kx} \text{ where } k \in \mathbb{R}$

Given that h(1) = 20, we want to find k.

h(1) = 20 means that h(x) = 20 when x = 1. Substitute:

$\displaystyle (20) = 20e^{k(1)}$

Simplify:

$1= e^k$

Anything raised to zero (except for zero) is one. Therefore:

$k=0$

Given that h(1) = 40, we want to find 2k + 1.

Likewise, this means that h(x) = 40 when x = 1. Substitute:

$\displaystyle (40) = 20e^{k(1)}$

Simplify:

$\displaystyle 2 = e^{k}$

We can take the natural log of both sides:

$\displaystyle \ln 2 = \underbrace{k\ln e}_{\ln a^b = b\ln a}$

By definition, ln(e) = 1. Hence:

$\displaystyle k = \ln 2$

Therefore:

$2k+1 = 2\ln 2+ 1 \approx 2.3863$

Given that h(1) = 10, we want to find k - 3.

Again, this meas that h(x) = 10 when x = 1. Substitute:

$\displaystyle (10) = 20e^{k(1)}$

Simplfy:

$\displaystyle \frac{1}{2} = e^k$

Take the natural log of both sides:

$\displaystyle \ln \frac{1}{2} = k\ln e$

Therefore:

$\displaystyle k = \ln \frac{1}{2}$

Therefore:

$\displaystyle k - 3 = \ln\frac{1}{2} - 3\approx-3.6931$

3 0

2 years ago

Which is the equivalent of 6° 14'48" written in decimal form?

andreyandreev [35.5K]

Answer:

6.24 ¯ 6 °

Step-by-step explanation:

Convert to degrees, minutes, and seconds by leaving the number to the left of the decimal the same and manipulating the decimal.

6.24 ¯ 6 °

Glad I could help!!

3 0

3 years ago

mr thompson plans to invest $7,500 in a savings account that earns 2.75% simple nnual interest. If he makes no other deposits or

kogti [31]

Y=7,500(1+0.0275)^x
y=7,500(1.0275)^10
y=9,837.38

6 0

3 years ago