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dsp73
3 years ago
13

How bigger is a 1 ¼ inch button than a ⅝ inch button

Mathematics
1 answer:
Harrizon [31]3 years ago
8 0
I believe the answer is 5/8 
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Which point is a solution to the inequality shown in this graph
astra-53 [7]

Answer:

D: (1,5) Apex

Step-by-step explanation:


8 0
3 years ago
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If line AD is a tangent to circle B at point C, and m∠ABC = 55º, what is the measure of ∠BAD?
4vir4ik [10]
The tangent AD at point C forms a right angle to circle B, such as ∠ACB=90° and ∠ABC=55°.

We also know that the summation of all angles in a triangle is 180°. Thus we have the expression below:
180°=∠ABC + ∠ACB + ∠BAD
180°=55°+90°+∠BAD
∠BAD=35°

Therefore, the answer is 35°.

7 0
3 years ago
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Explain how negative powers of 10 can be helpful when writing and comparing small numbers
Luba_88 [7]

Answer:

See explanation

Step-by-step explanation:

Powers of 10 is a very useful way of writing down large or small numbers.

Instead of having lots of zeros, you show how many powers of 10 will make that many zeros.

When you work with small numbers, you should use the negative powers of 10. Just remember for negative powers of 10, move the decimal point to the left. For example,

0.36=3.6\cdot 10^{-1}\ [\text{Move the decimal point one place to the left}]\\ \\0.036=3.6\times 10^{-2}\ [\text{Move the decimal point two places to the left}]\\ \\0.0036=3.6\times 10^{-3}\ [\text{Move the decimal point three places to the left}]\\ \\...

When comparing small numbers, write these numbers in scientific notation (only one non-xero digit must be before point) and then

  • if the powers of 10 are the same in compared numbers are the same, just compare the numbers which are multiplied by these powers of 10. For example, 3.6\times 10^{-6}>2.6\times 10{-6}, because powers are the same (-6) and 3.6>2.6
  • if the powers are different, then the smaller is power, the smaller is number (number with the smaller negative power has more places after decimal point). For example, 3.6\times 10^{-6}> 2.6\times 10^{-7}, because -6>-7
8 0
3 years ago
A population of rabbits is described by the function R(t) = 100(2t/5), where t is measured in months and R is measured in rabbit
Savatey [412]

Answer and Step-by-step explanation: The graph is shown in the attachment.

a. ΔR on [1,2] is mathematically expressed as:

ΔR = R(2) - R(1)

which means difference of population of rabbits after 2 months and after 1 month.

R(1) = 100(\frac{2}{5}.1 )

R(1) = 100(\frac{2}{5} )

R(2) = 100(\frac{2}{5}.2 )

R(2) = 100(\frac{4}{5} )

\Delta R = 100(\frac{4}{5} )-100(\frac{2}{5} )

\Delta R = 100[\frac{4}{5} - \frac{2}{5} ]

\Delta R= 40

Difference of rabbits between first and second months is 40.

b. R(0) = 100(\frac{2}{5} .0)

R(0) = 0

Initially, there no rabbits in the population.

c. R(10) = 100(\frac{2}{5}.10 )

R(10) = 400

In 10 months, there will be 400 rabbits.

d. R(t) = 500

500=100(\frac{2}{5}.t )

\frac{500}{100}=\frac{2}{5}.t

t = \frac{500.5}{100.2}

t = 12.5

In 12 and half months, population of rabbits will be 500.

3 0
3 years ago
he price of apples went from $0.30 per lb to $0.90 per lb in three years. Find the rate of change of the price of apples. A) $0.
Tatiana [17]
To find the rate<span> of change, find the total change in price and then divide it by number of years over which it changed. So the answer is </span><span>$0.603</span><span> which is </span><span>$0.20 per pound per year</span><span>.</span>
3 0
3 years ago
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