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3 years ago

13

A line that has a positive x-intercept value and a negative y-intercept value has what type of slope?

1 answer:

sladkih [1.3K]3 years ago

8 0

Your turn to go follow up to the new one and you follow the steps of your life in the world and your life will make your life

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There are 250 wolves in a national park. the wolf population is increasing at a rate of 16% per year. write an exponential model

Helga [31]

$\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ A=250(1 + 0.16)^{t}\implies A=250(1.16)^t \\\\[-0.35em] ~\dotfill$

$A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &1000\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ 1000=250(1.16)^t\implies \cfrac{1000}{250}=1.16^t\implies 4=1.16^t \\\\\\ \log(4)=\log(1.16^t)\implies \log(4)=t\log(1.16) \\\\\\ \cfrac{\log(4)}{\log(1.16)}=t\implies \stackrel{\textit{about 9 years and 4 months}}{9.34\approx t}$

7 0

2 years ago

Rewrite each expression as a sum or difference of terms. (i) (x+3)(x-3) (ii) (x^2-3)(x^2+3) (iii) (x^15+3)(x^15-3) (iv) (x-3)(x^

klasskru [66]

Answer:

All the answers are given below.

Step-by-step explanation:

(i) (x+3)(x-3) =x² -3² =x² -9 {Since (a+b)(a-b) =a² -b²}

(ii) (x²-3)(x²+3) =(x²)² -3² = $x^{4} -9$ {Since (a+b)(a-b) =a² -b²}

(iii) $(x^{15} +3)(x^{15}-3) =(x^{15} )^{2}-3^{2} =x^{30} -9$

(iv) (x-3)(x²-9)(x+3) =(x²-9)(x²-9)=(x²-9)²= $x^{4}-18x^{2} +81$ {Since, (a-b)² =a²-2ab+b²}

(v) (x²+y²)(x²-y²) = (x²)² -(y²)² = $x^{4}-y^{4}$

(vi) (x²+y²)² = $x^{4}+2x^{2} y^{2} +y^{4}$ {Since (a+b)² =a²+2ab+b²}

(vii) (x-y)²(x+y)² =(x²-y²)² = $x^{4} -2x^{2} y^{2}+y^{4}$ {Since (a-b)² =a²-2ab+b² and (a+b)(a-b) =a²-b²}

(viii) (x-y)²(x²+y²)²(x+y)² =(x²+y²)²(x²-y²)² = $(x^{4} -y^{4} )^{2} =x^{8}-2x^{4} y^{4} +y^{8}$ (Answer)

5 0

4 years ago

5. Find the area of the larger pentagon if the scale factor is 1.5.

My name is Ann [436]

Answer: 48 sq. cm

Step-by-step explanation:

The area of the similar shapes is similar.

We use scalar factor to get the area of the bigger or the smaller figure by using the area of the given figure.

In the given figure , Area of the small pentagon = 32 sq. cm

Scale factor for the bigger pentagon = 1.5

Then , the area of the bigger pentagon would be = (Scale factor) x (Area of the small pentagon)

= 1.5 x (32 sq. cm)

= 48 sq. cm

Hence, the area of the larger pentagon = 48 sq. cm

4 0

3 years ago

What is the anwser to 450mg=g

Nostrana [21]

Since 1000 mg is one g then the answer is .45 . So 450mg=.45g. Hope I helped.

4 0

3 years ago

Please please answer

Nostrana [21]

Answer:

thanks for your support of the personal information on the direction of economics class

3 0

2 years ago