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3 years ago

Plz help with this question and explain

Mathematics

1 answer:

alekssr [168]3 years ago

5 0

I see two lines. The degree measure of any line is 180°.

4y + 5y = 180°

9y = 180°

y = 180°/9

y = 20

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If you travel 2.2 miles in 30 minutes. How many miles did you travel in 12 minutes?

natka813 [3]

Let m = miles traveled in 12 minutes.

2.2/m = 30/12

Cross-multiply here.

30m = (2.2)(12)

30m = 26.4

m = 26.4 ÷ 30

m = 0.88

In 12 minutes, 0.88 miles is traveled.

3 0

3 years ago

A colony of cats were introduced into a reserve. The number of cats present at timet(measured in years since the colony was intr

RUDIKE [14]

ANSWER:

a) 12 cats

b) 232

c) 246

d) 14

EXPLANATION:

Given the expression for number of cats C present at time t:

$C\text{ = }\frac{12.31}{0.05+0.56^t^{}}$

a) To find the number of cats initially on the reserve, let t = 0

Therefore, substitute 0 for t in the equation

$\begin{gathered} C\text{ = }\frac{12.31}{0.05+0.56^0} \\ \text{ = }\frac{12.31}{0.05\text{ + 1}} \\ \text{ = }\frac{12.31}{1.05} \\ =\text{ }11.72 \end{gathered}$

Number of cats initially on the reserve are approximately 12 cats

b) C(10):

$\begin{gathered} C(10)\text{ = }\frac{12.31}{0.05+0.56^{10}}\text{ = 232.12} \\ \end{gathered}$

C(10) = 232

Here, C(10) means that C is a function of 10. This means at time = 10 years

C)Using function notation to express the number of cats present after 17 years, we have:

$C(17)\text{ = }\frac{12.31}{0.05+0.56^{17}}$

$C(17)\text{ = }\frac{12.31}{0.05+0.56^{17}}\text{ = }245.94$

Therefore, number of cats present after 17 years are approximately 246 cats

C(17) = 246 cats

d) In this case, first find the number of cats present in the 10th year and subtract from the number of cats present in the 17th year.

$C(10)\text{ = }\frac{12.31}{0.05+0.56^{10}}=\text{ }232.12$

From question C above, we know C(17) = 246

Therefore, the increase in cat population to be expected from the 10th year to the 17th year is:

C(17) - C(10) = 246 - 232 = 14 cats

7 0

1 year ago

How do you write 6.37 in scientific notation?

Leto [7]

Answer:

6.37 x 10^0

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Solve the equation.<br> 6x + 7 = 8.1 – 15

avanturin [10]

Answer:

-2.31666

Step-by-step explanation:

7 0

4 years ago

Number two please <br> ASAP

miv72 [106K]

The solutions for $-5 +2x^{2} = -6x$ is option 3. $x= \frac{-6 \pm \sqrt{36-4 (2)(-5)}}{4} .$

Step-by-step explanation:

Step 1:

First, we must bring the equation to the form of $ax^{2} +bx +c =0.$

So $-5 +2x^{2} = -6x$ becomes $2x^{2} +6x-5=0.$

The value of a is the coefficient of the $x^{2}$ term, the value of b is the coefficient of x term and c is the coefficient of the constant term.