What is the solution to x+5>-7

Answers

Answer 1
Answer:

According to the given data we have the following inequality:

x+5>-7

To find the solution of the inequality above we would make the following:

\begin{gathered} \mathrm{Subtract\: }5\mathrm{\: from\: both\: sides} \n x+5-5>-7-5 \end{gathered}\begin{gathered} \text{Finally, simplify},\text{ and so:} \n x>-12 \end{gathered}

Therefore, the solution to x+5>-7​ would be x>-12


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Consider a colony of E.Coli bacteria that is growing exponentially. A microbiologist finds that, initially, 1,000 bacteria are present and 50 minutes later there are 10,000 bacteria. a) Find expression for the number of bacteria Q(t) after t minutes. b) When will there be 1,000,000 bacteria?

Answers

Answer:

a)Q(t)=Q_(0)e^((ln10/50)t)

b) 150min

Step-by-step explanation:

a) Using the formula for colony growth Q(t)=Q_(0)e^(kt) we need to find the specific value of k, to do this you'll use the time, initial and final number of colonies provided in your problem.

Q(t)=Q_(0)e^(kt)\n\n10000=1000e^(k(50)) \n\n(10000)/(1000)=e^(50k) \n\n10=e^(50k)\n ln(10=e^(50k))\n\nln10=50k\n\nk=ln10/50\n\nQ(t)=Q_(0)e^((ln10/50)t)\n\n

b) Once we have our expression we only have to use our final and initial number of bacteria to find t.

Q(t)=Q_(0)e^((ln10/50)t)\n\n\n1000000=1000e^(0.046t)\n 1000=e^(0.046t)\nln( 1000=e^(0.046t))\nln1000=0.046t\nt=ln1000/0.046\nt=150 minutes

I hope you find this information useful! good luck!

The minimum monthly payment for Cody's credit card is 2% of his balance or $20, whichever is higher. If Cody's balance at the end of his last billing cycle was $870, what is his minimum monthly payment?

Answers

Answer:

$20

Step-by-step explanation:

It is clear that deduction will be either 2\n percent or $20 , whichever is greater

Lets evaluate 2 percent of the last bill of 870\n

(2)/(100) * 870 \n= 17.4\n

Thus, $17.4 is less than $ 20

Thus, $20 will be the minimum monthly payment

2 % of 870 = $ 17.4

$ 17.4 is less than $ 20

Since the higher amount is deducted, his monthly charges would be $20. 

Hope this helps! :D

Pancake recipe calls for `8` eggs, but Alisha only has `3` eggs.Adjust the amount needed for each ingredient in the table so that the recipe still tastes the same with only `3` eggs.

Answers

Alisha needs tο use a fractiοn οf 3/8 οf each οf the ingredients οn the recipe.

What is Fractiοn?

A fractiοn is a way οf representing a part οf a whοle οr a ratiο between twο quantities. It is written in the fοrm οf a numeratοr and a denοminatοr separated by a hοrizοntal line οr slash (/), such as 3/4, where 3 is the numeratοr and 4 is the denοminatοr. The numeratοr represents the part being cοnsidered, and the denοminatοr represents the whοle οr the tοtal number οf equal parts.

The fractiοn οf each οne οf the οther ingredients that she needs tο use is equal tο the fractiοn between the number οf eggs that she has and the number οf eggs that the recipe calls, it is:

N = 3/8

Therefοre, Sο she needs tο use 3/8 οf each οf the ingredients that the recipe calls.

Learn more about fractions from given link:

brainly.com/question/11562149

#SPJ1

The LA dodgers hit the most home runs in 2014. The number of Home runs accounted for 6% of the entire major league baseball home run count. if the dodgers hit 35 home runs, then how many did the rest of the league hit?

Answers

Answer:

To answer the question, we will need to find the 6% (the home runs of the LA Dodgers) of 583 (the entire Major League Baseball home run count).

To do that, first we are going to divide 6% by 100% to convert it to a fraction and get rid of the percentage signs :

Now we can multiply our fraction by the entire Major League Baseball home run count to get the home runs of the Dodgers:

We can conclude that the LA Dodgers hit approximately 35 home runs.

Step-by-step explanation:

Yeet

Final answer:

The rest of the league hit approximately 583 home runs.

Explanation:

In order to determine the number of home runs hit by the rest of the league, we need to set up a proportion using the given information. Let 'x' represent the number of home runs hit by the rest of the league. We can set up the proportion as follows:



35/​x = 6/100



Cross-multiplying, we get 100 * 35 = 6 * ​x.



Simplifying, we have 3500 = 6 * ​x. Dividing both sides by 6, we find that x = 583.33. Rounding to the nearest whole number, the rest of the league hit approximately 583 home runs.

Learn more about proportion here:

brainly.com/question/34018947

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There are 10 multiple-choice questions on a math quiz. Each question has four answer choices with one correctanswer. Let X represent the number of questions answered correctly for a student who is randomly guessing each
answer choice.
Have the conditions for a binomial setting been met for this scenario?
O No, the order of the questions is unknown.
O Yes, all four conditions in BINS have been met.
O No, the answers are not independent of one another.
O No, we do not know how many quizzes this teacher will give.
Save and Exit
Next
Submit
Mark this and return

Answers

B.) Yes, all four conditions in BINS have been met.

Choose the correct simplification of 9x^2(4x + 2x^2 − 1)

Answers

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▹ Answer

18x⁴ + 36x³ - 9x²

▹ Step-by-Step Explanation

9x²(4x + 2x² - 1)

36x³ + 18x⁴ - 9x²

18x⁴ + 36x³ - 9x²

Hope this helps!

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