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3 years ago

I need help with these two problems

Mathematics

1 answer:

erastova [34]3 years ago

5 0

Number 5 is 15.9 kilograms

And number 6 is 6 million cubic feet per minute

You just cross multiply

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Kim has fraction 1 over 2 cup of almonds. she uses fraction 1 over 8 cup of almonds to make a batch of pancakes. part a: how man

Vesna [10]

She can make 4 batches of pancakes

6 0

3 years ago

How to find imaginary zeros anf real zeros of F(x)=-4x^5-8x^3+12x

Fofino [41]

Answer:

$x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}$

Step-by-step explanation:

We are given the function:

$f(x)=-4x^5-8x^3+12x$

And we want to finds its zeros.

Therefore:

$0=-4x^5-8x^3+12x$

Firstly, we can divide everything by -4:

$0=x^5+2x^3-3x$

Factor out an x:

$0=x(x^4+2x^2-3)$

This is in quadratic form. For simplicity, we can let:

$u=x^2$

Then by substitution:

$0=x(u^2+2u-3)$

Factor:

$0=x(u+3)(u-1)$

Substitute back:

$0=x(x^2+3)(x^2-1)$

By the Zero Product Property:

$x=0\text{ and } x^2+3=0\text{ and } x^2-1=0$

Solving for each case:

$x=0\text{ and } x=\pm\sqrt{-3}\text{ and } x=\pm\sqrt{1}$

Therefore, our real and complex zeros are:

$x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}$

4 0

3 years ago

Drag the tiles to the correct boxes to complete the pairs. Match the systems of equations with their solutions.

Dmitriy789 [7]

The systems of linear equations have been matched with their respective solutions as shown in the image attached below.

<h3>What is a system of linear equations?</h3>

A system of linear equations can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).

In this exercise, you're required to match the systems of linear equations with their respective solutions as shown in the image attached below.

Read more on linear equations here: brainly.com/question/2030026

#SPJ1

8 0

2 years ago

An observer took a time-exposure photograph of polaris and five nearby stars. how many hours were required to show their star pa

olga55 [171]

Photographing stars requires you to keep your exposure open for a long time. Taking pictures of star trails would take about 30 minutes to three hours. If you multiply that for the 6 stars stated above in the problem then you would be needing that much time if the stars were close and approximately 3 to 18 hours capture their star trails if they were far apart from each other.

5 0

3 years ago

Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After runni

allochka39001 [22]

After running for 18 minutes, Julissa completes 2 kilometers. If she is running a 10-kilometer race at a constant pace, then she comletes 1 kilometer after running 9 minutes. Now you can find the distance she run after 1 minute. This is $\dfrac{1}{9}$ km.

Let t be the time in minutes. Then k, the number of kilometers, can be found from proportion:

$\dfrac{1}{9}\ km$ - 1 minute

k km - t minutes.

Thus,

$\dfrac{\dfrac{1}{9}}{k}=\dfrac{1}{t},\\ \\k=\dfrac{1}{9}\cdot t.$

Answer: $k=\dfrac{1}{9}\cdot t.$

7 0

3 years ago

Read 2 more answers