MATHEMATICS HIGH SCHOOL

The question below refers to the selection “The Tyger from Songs of Experience” by William Blake.In “The Tyger” the stars probably symbolize —
a. the tiger
c. fellow poets
b. angels
d. humankind

Answers

Answer 1
Answer: Angels, because heaven is mentioned "When the stars threw down their spears/ And water'd Heaven with their tears" (Blake 17-18)

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What is the slope of a line perpendicular to MN for M(-3, 4) and N(5, -8)?

If the half-life of a unstable isotope is 10,00 years and only 1/8 of the radioactive parent remains how old is the sample? A.10,000 B. 20,000 C. 30,000 D. 40,000

Answers

Answer:

C. 30,000

Step-by-step explanation:

We know that, the exponential function for decay is,

y=ae^(rt)

where,

y = the amount after time t,

a = initial amount,

r = rate of decay.

The half-life of a unstable isotope is 10,000 years, so

\Rightarrow (1)/(2)=1\cdot e^(r\cdot 10000)

\Rightarrow (1)/(2)=e^(r\cdot 10000)

\Rightarrow \ln (1)/(2)=\ln e^(r\cdot 10000)

\Rightarrow -\ln 2={r\cdot 10000}\cdot \ln e

\Rightarrow -\ln 2={r\cdot 10000}\cdot 1

\Rightarrow r=(-\ln 2)/(10000)

Now the function becomes,

y=ae^{(-\ln 2)/(10000)\cdot t}

Now, only 1/8 of the radioactive parent remains, so

\Rightarrow (1)/(8)=1\cdot e^{(-\ln 2)/(10000)\cdot t}

\Rightarrow (1)/(8)=e^{(-\ln 2)/(10000)\cdot t}

\Rightarrow \ln (1)/(8)=\ln e^{(-\ln 2)/(10000)\cdot t}

\Rightarrow -\ln 8={(-\ln 2)/(10000)\cdot t}\cdot \ln e

\Rightarrow -\ln 8={(-\ln 2)/(10000)\cdot t}

\Rightarrow t=(-\ln 8\cdot 10000)/(-\ln 2)

\Rightarrow t=30,000
IF the half-life of an unstable isotope is 10,000 years and only 1/8 of the radioactive parent remains, the sample is 30,000 years old.

if julie ran 3.6 miles from home to the gym and then walked 0.7 miles to the store she then ran from the store home if her total distance covered after she returned from the store was 7.2 miles how far is it from the store to her home? write and simplify and expression that would represent the distance she covered.

Answers

So,

Home ---- gym = 3.6 mi.
gym   ---- store = .7 mi.
store ----- home = x

3.6 + .7 + x = 7.2 mi.

Collect Like Terms

4.3 + x = 7.2

Subtract 4.3 from both sides
x = 2.9

The distance from the store to her home is 2.9 miles.

Using the coordinates of two points (84, 80) and (74, 65), determine the slope of the line of best fit.a. The slope of the line is 1.5.
b. The slope of the line is 15.
c. The slope of the line is -10.
d. The slope of the line is -15

Answers

Answer:

a.the slope of the line is 1.5

Step-by-step explanation:

Hello

if two points of a line are known(P1 and P2), it is possible to find the slope of the line, the slope of a line is given by:

slope=(y_(2)-y_(1))/(x_(2)-x_(1)) \nm=(y_(2)-y_(1))/(x_(2)-x_(1))\n

P1=(x_(1) ,y_(1)) \nP2=(x_(2) ,y_(2))

Step 1

define

P1=(84,80) , x_(1)=84 ,y_(1)=80\nP2=(74,65) , x_(2)=74 ,y_(2)=65

Step 2

put the values into the equation

m=(y_(2)-y_(1))/(x_(2)-x_(1))\nm=(65-80 )/(74-84)\nm=(-15)/(-10)\n m=(15)/(10)=(3)/(2)=1.5

the slope=1.5

I hope it helps, have a great day
the slope of the line is 1.5

11 5 over 8 into an improper fraction

Answers

11 5/8 as a improper fraction 

1) Simplify Fraction 
⇒ Multiply denominator with whole number
8 x 11 = 88

⇒ Answer of multiplication and add the numerator 
88 + 5 = 93 

93/8 is improper Fraction. 
The fraction cant be simplified 
11 5/8 
11 x 8 = 88 We multiply the whole number by the denominator 
88 + 5 = 93 We take the answer (88) and add that to 5, which equals 93.
The denominator stays the same, so you just place the 93 over 8
A= 93/8 

Does anyone know the answer

Answers

Answer:

B

Step-by-step explanation:

Slope formula: y2-y1/x2-x1

Let (-7, 2) = x1 and y1

Let (4,6) = x2 and y2

6-2/4-(-7)

4/11

jay discounts a 100-day note for 25,000 at 13%. the effective rate of interest to the nearest hundredth percent is what?

Answers

Jay were able to get a discount in a 100-day note which 25000 dollars and get a 13% discount. 

Let's solve for the effective rate interest of this 100-day note:
=> 25 000 * .13 = 3 250 dollars is the discount. 
Thus, the 13% discount that he got is 3 250
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