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3 years ago

What is the converse of the conditional statement?

Mathematics

1 answer:

Svetach [21]3 years ago

7 0

Answer:

If x + 1 is odd, then x is even.

Step-by-step explanation:

The converse of the statement ...

if P, then Q.

is ...

if Q, then P.

Here, we have P="x is even" and Q="x+1 is odd". The converse statement is ...

if x+1 is odd, then x is even.

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What is 21 divided by 2 + 1 times 5 mines 2 to the second power?

goblinko [34]

21÷(2+1)5-2²
21÷10+5-4
21÷15-4
21÷11
21/11
1whole10divided by 11

5 0

4 years ago

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

Ben says the angle is an acute angle. Jeff says the angle is less than a straight angle. Explain whether their statements are co

Dahasolnce [82]

Answer:

sometimes, if their average angle is over 45 degrees

never are 2 obtuse angles summing to 180 degrees

always. two 90 degree angles always sum to 180 which is a straight line

7 0

3 years ago

Of the 25 girls on the Alden Middle School soccer team, 40% also play on a travel team. How many of the girls on the middle scho

SpyIntel [72]

Answer:

10 Girls

Step-by-step explanation:

Total number of girls in Alden Middle school= 25 girls

Percent of girls play for travel team= 40%

We have to find the numbers of girls who play for middle school team

Numbers of girls who play for middle school team= 25 × $\frac{40}{100}$

Numbers of girls who play for middle school team=25 × $\frac{40}{100}$

Numbers of girls who play for middle school team=10

Hence the number of girls play for travel team= 10 girls.

Hence, the correct answer is 10.

5 0

3 years ago

Which of the following function is graphed below?

Gnesinka [82]

Answer:

Step-by-step explanation:

We can see that there is a closed dot and the function is going left and it is a cubic function.

Additionally, the only one with a $x^3+n\leq 2$ inequality is C.

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4 years ago