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1 year ago

Indicate the method

Mathematics

1 answer:

Nataly_w [17]1 year ago

8 0

Answer:

asa

Step-by-step explanation:

i think it was ASA

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A population of 200 animals has a growth rate of 1.03% each year. at this growth rate, the function f(x)=200(1.03)^x gives the p

Y_Kistochka [10]

For this case, the first thing we should do is use the following equation:
f (x) = 200 (1.03) ^ x
We substitute f (x) = 300:
300 = 200 (1.03) ^ x
We clear the value of x:
log1.03 (300/200) = log1.03 ((1.03) ^ x)
x = log1.03 (300/200)
x = 13.72
Answer:
the population will first reach 300 in about 13.72 years.

6 0

2 years ago

The fence is 106 meters long. Each section of fence is 3 meters long. How many sections were needed to complete the fence?

denis23 [38]

Answer: approximately 35
explanation:
divide 106 by 3 = 35.33

4 0

2 years ago

2(x-5)=10 but the pemdas is backwards

ale4655 [162]

Answer:

2 (x-5) = 10

2x-10 = 10

2x = 10 + 10

x = 20/2

x = 10

Step-by-step explanation:

8 0

2 years ago

In the form of a paragraph, explain in complete sentences, your answers to the following questions. Include the final answer in

Yanka [14]

Lisa is an avid runner and is training for a marathon, so she runs everyday to achieve this purpose. In this way, she goes out to run for six days, so we have the following data set regarding the miles she runs:

1st day = 3.2    miles
2nd day = 7.5   miles
3rd day = 9.8    miles
4th day = 11.5 miles
5th day = 2.9 miles
6th day = 3.5 miles

<span>Finally, she ran a total of:

3.2+7.5+9.8+11.5+2.9+3.5 = 38.4 miles

</span><span>What was the average distance of each run?

This result can be get as the sum of each run (or the </span>total of miles she run<span>) divided by the numbers of days she ran.

</span> $A=\frac{38.4}{6}=6.4mi$

<span>Lisa's goal for this week is to run an average of 6 miles per day. How many miles does she need to run tomorrow (the 7th day) in order to achieve her goal of 6 miles per day for the week?

Let's name x the distance she must run tomorrow. Therefore, the equation for this purpose is given as follows:

</span> $\frac{3.2+7.5+9.8+11.5+2.9+3.5+x}{7}=6$

∴ $\frac{38.4+x}{7}=6$

Isolating x:

$38.4+x=42$

∴ $x=42-38.4=3.6$

Therefore, she need to run:

$\boxed{3.6mi}$ in order to achieve the goal of 6 miles per day.

4 0

3 years ago

Point D is in the interior of ZABC, m ABC = 10x - 7, m_ABD = 6x + 5, and m DBC = 36. What is m ABD?

mestny [16]

Answer:

Step-by-step explanation:

If Point D is in the interior of <ABC, then <ABD+<BDC = <ABC

Given

<ABC = 10x - 7,

<ABD = 6x + 5

<DBC = 36

Substituting the given parameters into the formula above;

ABD+<DBC = <ABC

6x + 5+ 36 = 10x-7

6x+41 = 10x-7

collect like terms

6x-10x = -7-41

-4x = -48

divide both sides by -4

-4x/-4 = -48/-4

x = 12

To get <ABD, we will substitute x = 12 into the expression <ABD = 6x + 5

<ABD = 6(12)+5

<ABD = 72+5

<ABD =77

Hence the value of <ABD is 77

5 0

2 years ago

Indicate the method ​

Indicate the method