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According to the calculations made, 28 students study both subjects, and 1/2 of the class studies biology but not physics.

Given that in a class of 80 students 3/4 study biology and 3/5 study physics, to determine, if each student studies at least one of the subjects, how many students study both subjects, and find the fraction of the class that study Biology but not physics, the following calculation must be performed:

Therefore, 28 students study both subjects.

Therefore, 1/2 of the class studies biology but not physics.

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Point-slope form is: y - y1 = m ( x - x1 )

You plug in your slope for m and the x and y values from that point for x1 and y1.

    y - (-8) = -3/4 ( x - (-3) )

Be sure to clean up the "minus a negative" to get

    y + 8 = -3/4 ( x + 3 )

Answer:

I'll assume "position 7" refers to distance and not to the order of other people.  

Step-by-step explanation:

We want an equation of the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).  We can assume that "claps" is a new measure of distance.  0 claps is the finish.

Let's express the information provided in point format.

"At 2 claps, Joe is in position 7"  is (2,7)  2 is the distance (claps) and 7 is the time (minutes)

And we can say the rate is also the slope of a line.  "rate of 3 claps per minute" is 3c/m, where c is claps and m is minutes.

We can start a line equation by stating y = 3x + b, where we're using the rate, 3 c/m, as the slope, m.

We need to determine the value of b.  We can use the given point (2,7) and solve for m:

y = 3x + b

7 = 3*(2) + b

b = 1

The equation becomes y = 3x + 1

y is the distance in claps and x is the time in minutes.

At a time of 2 claps he is at position of 7.  b = 1 means he started 1 clap further from the finish at 0 claps.

To find the time required to reach the finish, we need to know the total distance, in claps.

Answer:

7.8%

Step-by-step explanation:

Yesterday’s price =$3.20

Today’s price =$3.45

Increase =today’s price - yesterday’s price

That’s $3.45 - $3.20

= $0.25

Percentage increase = increment /yesterday’s price x 100%

That’s $0.25/$3.20 x 100%

0.0781 x 100%

7.81

7.8%

Answer:

3w + x/z + y

That is simplest form

Answer:

102

Step-by-step explanation:

Answer:

Fairly easy just 180-102-30= 48 degrees So since you know the third angle within that triangle just take 180 - 48 which gives you 132 degrees. 132 is the angle FGH.

Step-by-step explanation:

180-  102 - 30= 48 degrees

180 - 48 = 132 degrees

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[tex]join \: bunny \: squad[/tex]

[tex]join \: bunny \: squad[/tex]

btw,, the formula you insert is incorrect:)

Answer:

haysst pa brainliest po

salamat sa ponts

Answer:

The acceleration of a car that travels in a straight line at a constant speed of 100 km/h is zero. Average.

Answer:

∅=30°

Step-by-step explanation:

[tex]sin[/tex]∅[tex]=\frac{1}{\sqrt{3} }sin60^{0}[/tex]

sin∅=[tex]\frac{\frac{\sqrt{3} }{2} }{\sqrt{3} } =\frac{\sqrt{3} }{2\sqrt{3} }=\frac{1}{2}[/tex]

∅=[tex]sin^{-1}(\frac{1}{2})= 30^{0}[/tex]

I hope this help you

Answer:

SAS

Step-by-step explanation:

The included angle is similar and they have corresponding sides.

Answer: There are 70 women and 35 men.

Step-by-step explanation:

105 divided by 3 is 35 and 105 - 35 is 80.

Step-by-step explanation:

Consider that:

Fill in the blanks

Row 1    ⇒ 2 and -5

Solve using two values:

Row 2   ⇒ -5 and 5

Row 3    ⇒ - 6 and 4

Row 4     ⇒ -6/7 and 2/5

In probabilities, variables p and q are often used as complements of another.

The relationship between variables p and q is:

[tex]\mathbf{p+ q = 1}[/tex]

So, we have:

(a) p = 0.579

Substitute 0.579 for p in [tex]\mathbf{p+ q = 1}[/tex]

[tex]\mathbf{0.579 + q = 1}[/tex]

Make q the subject

[tex]\mathbf{q = 1 - 0.579}[/tex]

[tex]\mathbf{q = 0.421}[/tex]

The value of q is 0.421

(b) q = 0.871

Substitute 0.871 for q in [tex]\mathbf{p+ q = 1}[/tex]

[tex]\mathbf{p + 0.871 = 1}[/tex]

Make p the subject

[tex]\mathbf{p = 1 - 0.871}[/tex]

[tex]\mathbf{p = 0.129}[/tex]

The value of p is 0.129

Read more about probability complements at:

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Answer:

The answer can be literally anything.

Step-by-step explanation:

The answer can be literally anything. I can see most of the answers says 3 but, that is only one of the solutions. It is the answer when questions defines the relationship as number of characters, but the question never says that. All it says is, find me a relation which satisfies few values, and then find the relationship value at a new point.

Let us start by examining the question. So here is the question in mathematical terms:

Given:

f(1)=3, f(2)=3, f(3)=5, f(4)=4 and f(5)=4

Find f(6).

So if we assume the function to be f(x) then we know its value at 5 points.

Let’s say f(6)=K, so now we know it’s value at 6 points.

Now, given the value of a function at N points, we can always find a (N-1) degree polynomial which will be that function.

Now, you can put whatever value of K you want, and you will get corresponding set of coefficient vector which will satisfy the function values at the given points.

On a side note, I don’t consider this puzzle a good puzzle, since most of the people asking it expect only 3 as answer. They basically want you to limit the way you think, in a particular direction, which I think is not a very great idea.

Resource: http://mth.bz/fit/polyfit/findcurv.htm#06

It concludes that 6 = 3 for the given pattern, because in "six" has "3" letters.

A pattern is a recurring series of occurrences or elements that can be used to identify and categorize various forms of data or information.

As per the question,

1=3

2=3

3=5

4=4

5=4

If we write "1" in a word then we will write "one" and if we count the letter it will give us "3".

If we write "2" in a word then we will write "two" and if we count the letter it will give us "3".

If we write "3" in a word then we will write "three" and if we count the letter it will give us "5".

Similarly, if we write "6" in a word then we will write "six" and if we count the letter it will give us "3".

Hence, 6 = 3.

Learn more about the pattern of numbers here:

https://brainly.com/question/10943425

#SPJ2

Answer:

27 x^( 6 )y^( 9)

Step-by-step explanation:

Answer:

move all terms to the left side and set equal to zero. Then set each factor equal to zero.

[tex]y= n + m/ b-a[/tex]

Step-by-step explanation:

Answer:

0 > -60

Step-by-step explanation:

Every negative number is less than 0

Median x˜ 18.5

that is the answer.

Answer:

45 miles in 3 days

Step-by-step explanation:

if she drives 3 miles an hour for 5 hours a day that would be 3x5=15

15x3 days=45 miles in 3 days

Answer:

hope you find the answer

Step-by-step explanation:

the second one as the -2x-3 is only on the second one

Answer:

it is 14

Step-by-step explanation:

if X=14 then Y=84

Answer:

Step-by-step explanation:

Greatest common factor (GCF) of 22 and 44 is 22.

GCF(22,44) = 22

We will now calculate the prime factors of 22 and 44, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22 and 44.

[tex] \large\underline{\sf{Solution-}}[/tex]

Given Logarithmic expression is

[tex]\rm \longmapsto\: log_{ \sqrt{3} }(729) [/tex]

Let first factorize 729

[tex]\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{3}}}&{\underline{\sf{\:\:729 \:\:}}}\\ {\underline{\sf{3}}}& \underline{\sf{\:\:243 \:\:}} \\\underline{\sf{3}}&\underline{\sf{\:\:81\:\:}} \\ {\underline{\sf{3}}}& \underline{\sf{\:\:27 \:\:}} \\ {\underline{\sf{3}}}& \underline{\sf{\:\:9\:\:}}\\\underline{\sf{}}&{\sf{\:\:3 \:\:}} \end{array}\end{gathered}\end{gathered}\end{gathered}[/tex]

So,

[tex] \purple{\rm \longmapsto\:729 = 3 \times 3 \times 3 \times 3 \times 3 \times 3}[/tex]

[tex] \purple{\rm \longmapsto\:729 = {3}^{6} }[/tex]

[tex] \purple{\rm \longmapsto\:729 = {( [{ \sqrt{3} ]}^{2}) }^{6} }[/tex]

[tex] \purple{\rm \longmapsto\:729 = {( \sqrt{3} )}^{12}}[/tex]

So,

[tex]\rm \longmapsto\: log_{ \sqrt{3} }(729) [/tex]

can be rewritten as

[tex]\rm \:  =  \: log_{ \sqrt{3} }( {( \sqrt{3}) }^{12} ) [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ log_{a}( {a}^{x} ) \: = \: x \: }}}[/tex]

So, using this identity, we get

[tex]\rm \:  =  \: 12[/tex]

Hence,

[tex] \green{\rm\implies \:\boxed{\tt{ \: \: log_{ \sqrt{3} }(729) \: = \: 12 \: \: }}}[/tex]

Answer:

C)

Step-by-step explanation:

The midpoint is the average of the two points.

Thus,

Midpoint = [ ( 7 + 3i) + (-5 - 8i) ] / 2 = ( (7-5) + i(3-8) ) / 2 = (2 - 5i)/2 = 1 - 2.5i

Answer:

48 days

Step-by-step explanation:

20% of 60 is 12

60-12=48

Answer:

48

Step-by-step explanation:

20% of 60 is 12, 60-12=48

Hope that helps