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Find P on NM that is the given fractional distance from N to M. Please explain.

Equation:

1/5; N (-3, -2), M (1, 1)

Answer:

3

Step-by-step explanation:

Answer:

$34,781.78

Step-by-step explanation:

the annual salary is $33,284 which is 100%and the raise is 4.5%which you add 100% .u add the 100% because it is a profit .then it becomes 104.5% .

the equation is: $33,284=100%

? =104.5%

Cross multiply then the equation is:

$33,284×104.5%/100%=34,781.78

Answer:

x=7

Step-by-step explanation:

8x-5y=16

8x-40=16

8x=56

x=7

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129. We can assume a linear growth model on the based of given information.

The given data states that in the year 1985, there were 13 US billionaires. Whereas in 1990, there were 99 US billionaires. We have to find out the formula that predicts the number of US billionaires in any given year (t).

The yearly increase remains constant, so we can consider the formula for the linear function.f(t) = mt + b

where

t is the year and f(t) is the number of US billionaires in that year (t).

m is the slope of the line and b is the y-intercept.

The slope of the line is given by the formula:m = (y₂ - y₁) / (x₂ - x₁)

Let's plug in the given values to find the slope of the line.m = (99 - 13) / (1990 - 1985)m = 86 / 5m = 17.2 .The y-intercept of the line can be found by substituting the values of t and f(t) from any of the given points into the equation of the line.

Let's use the point (1985, 13).f(t) = mt + b => f(1985) =17.2(1985) + b => f(1985) = 34,142 + b =>b = 13 - 34,142 & b = -34,129.

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129

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Answer:

Increases slowly, increases quickly

Step-by-step explanation:

The first part of the graph is a slope that's not very steep, but in a positive direction. That means it's increasing slowly. The second segment has a much steeper slope, and it's going upwards, meaning it is increasing quickly.

I hope this helped!

Answer:

put it on the dots for the x-axis and the y-axis

Step-by-step explanation:

Answer:

Your answer to this question is 16

Answer:

Mario's heart beats 112 times per minute.

To find out, we can use the following equation:

Heart rate = number of beats / time

Since we're given that Mario's heart beats 28 times in 1/4 minute, we can set up the equation like this:

Heart rate = 28 / 1/4

To divide by a fraction, we can multiply by its reciprocal:

Heart rate = 28 x 4/1

Heart rate = 112

Therefore, Mario's heart rate is 112 beats per minute.

Answer:

No mode

Step-by-step explanation:

Just no mode cause no number appears more than once.

Answer:

287.70 because if u round to the nearest hundreds all u would have to do is add a zero.

I think it's 287.70

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer:

Explanation:

Terry bought 2 shirts for $14 each.

That is $28 on shirts

2 pair of socks for $2.99

That is $5.98 on socks

A pair of slacks for $25

The sales tax rate is 6.5% or 6.5/100 or 0.065

We want to know how much he paid.

Adding all the items he bought together, we have:

$28 + $5.98 + $25

= $58.98

Next, we apply the sales tax rate.

Take 6.5% of $58.98

This is: $58.98 * 0.065

= $3.83

Finally, add the sales tax with the amount we got

$58.98 + $3.83

= $62.81

He paid $62.81 in total

Answer:

y= 4 , -4

Step-by-step explanation:

hope i helped

Answer:

212586955997.2

Step-by-step explanation:

90^5x36-(35+60)÷25+57^4

36x90^5-95÷25+57^4

36x90^5-3.8+57^4

Solution

36x90^-3.8+57^4

Alternate form

212586955997.2

Answer:90^5x36-(35+60)÷25+57^4=? Please help quickly, show your work

Step-by-step explanation:

The value of the definite integral ∫[4 to 7] (3n - 2)/(n - 3) dn is 9 + 7 ln 4.

To evaluate the definite integral \(∫[4 to 7] (3n - 2)/(n - 3) dn\), we can start by simplifying the integrand and then apply integration techniques.

First, let's simplify the expression \((3n - 2)/(n - 3)\)by performing polynomial division:

\((3n - 2)/(n - 3) = 3 + (7)/(n - 3)\) as:

\(∫[4 to 7] (3 + (7)/(n - 3)) dn\)

To evaluate this integral, we can split it into two parts:

\(∫[4 to 7] 3 dn + ∫[4 to 7] (7)/(n - 3) dn\)

The first integral evaluates to:

\(∫[4 to 7] 3 dn = 3n\)evaluated from n = 4 to n = 7

\(= 3(7) - 3(4)= 21 - 12= 9\)

For the second integral, we can use the natural logarithm function:

\(∫[4 to 7] (7)/(n - 3) dn = 7 ln|n - 3|\) evaluated from\(n = 4 to n = 7= 7(ln|7 - 3| - ln|4 - 3|)= 7(ln|4| - ln|1|)= 7(ln 4 - ln 1)= 7 ln 4\)

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The chords, inscribed angles, and central angles in the figure has been identified below.

A chord is a line segment that has both endpoints that lies on the circumference of a circle.

An inscribed angle can be defined as an angle that is formed by two chords in a circle, and having its vertex on the circumference of the circle.

A central angle is an angle that has its vertex at the center of the circle and it is formed by two radii of the circle.

1. The chords in the circle are: DE and EF

Inscribed angle is: angle DEF

Central angle are: angle DCF

2. The chords in the circle are: RS, ST, and SU

Inscribed angle are: angles STR, SRT, SRT, and RSU

Central angle are: angles TCU, SCT, SCR, and RCU

3. The chords in the circle are: DG and EF

Inscribed angle are: angles DGF and GEF

Central angle is: none

4. The chord in the circle is: AE

Inscribed angles are: none

Central angle is: angles DCE, ACB, BCE, and BCD

5. m<DGE = 1/2(84)

m<DGE = 42°

6. m<EFD = 1/2(84)

m<EFD = 42°

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1) The amplitude c+ is c+l

2) The expectation value is 0

3) The uncertainty ΔSX is √(3/7) c+.

Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:

Ψ = c+ |+> + c- |->

where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.

Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->

Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.

Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).

Now, |+> can be written as:|+> = 1/√2(|l> + |r>)

Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)

Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)

Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->

Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:

c+/√2 = c+l/√2 + i/(√7√2)

Therefore, c+ = c+l

The amplitude c+ is a real number and is equal to c+l

The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>

Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)

As c+ is a real number, Im(c+) = 0

Therefore, = 0

The uncertainty ΔSX in the state |Ψ> is given by:

ΔSX = √( - 2)

where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2

Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)

Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+

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Answer:

the answer is 32 lawns in 12 hours!

Step-by-step explanation:

3 hours = 8 lawns

6 hours = 16 lawns

9 hours = 24 lawns

12 hours = 32 lawns

Hope thus helped

Answer:

32

Step-by-step explanation:

Step 1:

8 : 3 = x : 12      Ratio

Step 2:

3x = 96    Multiply

Step 3:

96 ÷ 3      Divide

Answer:

32 lawns

Hope This Helps :)

Answer:

Hi! I'll just help qwq

The first option should be the correct answer!

Step-by-step explanation:

The sun is in the center, and all other planet orbits/goes around the sun.

The second option is a theory of which old people believed. Now we know for sure that the sun is in the center, and we orbit around it.

The solution to the differential equation y′′−5y′ 6y=0 is given by y=C₁e^(2x)+C₂e^(3x).

To solve the differential equation, we first need to find the characteristic equation of the differential equation. The characteristic equation is given by:

r^2−5r+6=0

This equation can be factored as:

(r−2)(r−3)=0

The roots of the characteristic equation are r=2 and r=3.

Therefore, the general solution to the differential equation is given by:

y=C₁e^(2x)+C₂e^(3x)
where C₁ and C₂ are constants.

In conclusion, the solutions to the differential equation y′′−5y′ 6y=0 are y=C₁e^(2x) and y=C₂e^(3x).

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Answer:

the rate is +1

Step-by-step explanation:

the starting value is 3

for x=0=

y=3

for x=1=

y=5

for x= 2=

y= 7

for x=3=

y= 9

The two expressions (P+Q)R and PR + QR are equal.

To determine whether the two expressions in each pair are equal, we can simplify and compare them.

Expression 1: (P+Q)R

Expression 2: PR + QR

To compare these expressions, we need to ensure that matrix addition and matrix multiplication properties are followed.

If P, Q, and R are matrices of compatible sizes, then the distributive property holds true for matrix multiplication. Using this property, we can expand Expression 1:

(P+Q)R = PR + QR

Comparing Expression 1 (PR + QR) with Expression 2 (PR + QR), we can see that they are equal. The order of adding the matrices does not affect the result since matrix addition is commutative.

Therefore, the two expressions (P+Q)R and PR + QR are equal.

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9514 1404 393

Answer:

  D

Step-by-step explanation:

The wording "must be under 315" means you can immediately throw out any answer choice that has "> 315" or "more than" in it.

The total number of seats in the auditorium will be the sum of the number in the balcony and the number on the floor. On the floor, 15 rows of x seats will be 15x seats altogether. Then the fire safety requirements are ...

  floor seats + balcony seats < 315

  15x + 60 < 315 . . . . . . matches choice D

The solution is ...

  x + 4 < 21 . . . . divide by 15

  x < 17 . . . . . . . .subtract 4

The variable x stands for the number of seats in a row, so x < 17 means there must be fewer than 17 seats in each row.

Answer: x= -1

Step-by-step explanation:

In mathematics when you have bases that are the same while multiplying you add the powers. In this case we do not have the same bases so we are going to make it look like 8 is 2. So we sort of simplify it. So we get 8 and put into like 2^4. We do not eliminate the power x that was already there though. So we will have 2^4x × 2^4-x. So like I said earlier we add the powers. Soo we will have

Answer:

A

Step-by-step explanation:

Kahn Academy

Given that it won a gold medal, the probability that is from the US is:

P = 0.063

To find the probability, we need to take the quotient between the number of gold medals from the US, and the total number of gold medalists.

There are 48 gold medalists in the US, and the total number is:

48 + 90 + 107 + 114 + 397 = 756

Then the probability is:

P = 48/756

P = 0.063

That is the probability that some one wins a a gold medal and is from the US.

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Answer:

B: (x-6)^2=0

Step-by-step explanation:

Answer:

83.61551571

Step-by-step explanation:

hope this helps :)