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3 years ago

WILL MARK BRAINLIEST IF RIGHT PLS DONT GET IT WRONG

Mathematics

1 answer:

Usimov [2.4K]3 years ago

3 0

Answer:

A triangle's total is 180 degrees. 90 is a right angle. 20 is the angle for A. That would mean the value of 90+20=110. 180-110=70 B is 70

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PLEASE HELP ASAP I WILL MAKE YOU THE BRAINLEST

Alex

Answer:

$1,272

Step-by-step explanation:

Just add 1,200 (how much she borrowed) and 6/100*1200 (6 percent of 1200) and you will get the answer of $1,272

7 0

4 years ago

Toenails grow at an average rate of about 0.05 mm per day, and the average toenail is about 3/4 inch long. About how many months

nirvana33 [79]

0.05 mm * ? days = 0.75 inch

Use proportions

1 mm = 0.0394 inch
0.05 mm = 0.00197 inch

0.75 inch / 0.00197 inch = 380.71

380.71 days / 30 days = 12.7 months

7 0

2 years ago

A bacteria culture starts with 660 bacteria and grows at a rate proportional to its size. After 6 hours there will be 3960 bacte

scoray [572]

Answer:

a) $P(t) = 660 e^{\frac{ln(6)}{6} t}$

b) $P(t=3) = 660 e^{\frac{ln(6)}{6}*3} = 1616.663 \approx 1617$

Step-by-step explanation:

For this case we have the following info:

$P(0) = 660$ represent the initial amount of bacteria

$P(6) = 3960$ represent the population of bacteria after 6 hours

Part a

For this case we use the proportional model given by:

$\frac{dP}{dt}= kP$

Where P represent the population at time t and k is a constant of proportionality.

We can rewrite the model like this:

$\frac{dP}{P} = k dt$

And if we integrate both sides we got:

$ln |P|= kt + C$

Now if we apply exponential we got:

$P = e^{kt +c}= e^{kt} e^C$

$P(t)= P_o e^{kt}$

For this case using the initial condition:

$660 = P_o e^{0k}, P_o = 660$

We have the following model:

$P(t) = 660 e^{kt}$

Using the second condition $P(6) = 3960$ we have this:

$3960 = 660e^{6k}$

We can divide both sides by 660 and we got:

$6= e^{6k}$

Now we can apply natural log on both sides and we got:

$ln (6)= 6k$

$k = \frac{ln(6)}{6}=0.2986265782$

So then the model would be given by:

$P(t) = 660 e^{\frac{ln(6)}{6} t}$

Part b

For this case we just need to replace t=3 into the model and we got:

$P(t=3) = 660 e^{\frac{ln(6)}{6}*3} = 1616.663 \approx 1617$

4 0

3 years ago

1. Jada measured the height of a plant in a science experiment and finds that, to the nearest 1/8 of an inch, it

Nonamiya [84]

Answer:

here

Step-by-step explanation:

Given that the height(h) of the plant to the nearest 1/4 of an inch is 3/4 inches = 0.75 inches.

it is obvious that the height will lie within the range

Thus,

a. The largest actual height could be 0.875 inches, while

b. The smallest actual height could be 0.625 inches

c. The percentage error is given by the formula

if we take the lowest value, for instance, as the exact, i.e. 0.625 inches, then % error = [(0.75-0.625)/0.75]*100% = 16.7%

5 0

3 years ago

If 10-10ˣ=9.9, find x

madam [21]

we are given

$10-10^x=9.9$

we can move 10 on right side

$-10^x=9.9-10$

$-10^x=-0.1$

we cancel -1

$10^x=0.1$

we can rewrite right side

$10^x=10^{-1}$

we can compare exponents

and we get

$x=-1$ .............Answer

3 0

3 years ago