Pleaase help ASAP!! Please add the steps if you can (optional)
Bill began his diet when he weighed 268 pounds. After 4 weeks he weighed 250 pounds. Write an equation in slope-intercept form of the line if w represents weeks and p represents pounds

Answer:

-16

Step-by-step explanation:

The sequence pattern is ×2

-4 × 2 is -8

-8 × 2 is -16

-16 × 2 is -32

Answer:

-16

Step-by-step explanation:

-2

-2(2) = -4

-4(2) = -8

-8(2) = -16

-16(2) = -32

-32(2) = -64

The features related to vectors are listed below:

Case A: u' = (- 4√41 / 41, - 5√41/ 41)

Case B: Tip coordinantes of vector v: (x, y) = (10, 10)

Case C: r = 11.402

In this question we must determine three features related to vectors: (a) unit vector, (b) the definition of a vector based on the coordinates of its base and its tip, (c) The magnitude of a resulting vector.

Case A - Unit vector

Unit vectors are vectors with magnitude 1, for the case of vector u we have the following definition:

u' = u / ||u||

Where:

Please notice that the magnitude of the vector is determined by Pythagorean theorem:

r = √[(Δx)² + (Δy)²]

Where:

Thus, the unit vector of u is:

u' = (- 4, - 5) / √[(- 4)² + (- 5)²]

u' = (- 4, - 5) / √41

u' = (- 4 / √41, - 5 / √41)

u' = (- 4√41 / 41, - 5√41/ 41)

Case B - Definition of a vector

This can be found easily by vector subtraction:

v = Tip coordinates - Base coordinates

(3, 4) = (x, y) - (7, 6)

(x, y) = (3, 4) + (7, 6)

(x, y) = (10, 10)

Case C - Magnitude of a vector

The magnitude is found by means of Pyhtagorean theorem:

r = √[(- 4 - 3)² + (- 5 - 4)²]

r = √[(- 7)² + (- 9)²]

r = 11.402

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Answer:

x=-5

Step-by-step explanation:

(x=0 is a removable discontinuity and x=6 is an infinite discontinuity)

at x=-5 the limit from the left and right are not equal to one another

Answer:

6 cups of sugar left

hope this helps

The number that belongs in the green box using sine rule is 13.96.

The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

To calculate the number that belongs in the green box, we use the formula below

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Solve for x

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Answer:

8, 9, 10, 11, 12 etc.

Step-by-step explanation:

Answer:84

Step-by-step explanation:

Answer:

84 hamburgers were sold

Answer:

hewo Asuna here

your answer is C

Step-by-step explanation:

hope this helps^^

Answer:

The total number of ways to choose 2 students from a class of 16 is given by the combination formula:

C(16,2) = 16! / (2! * (16-2)!) = (1615) / (21) = 120

This means there are 120 possible pairs of students that could be drawn.

The probability of you and your best friend being chosen is the number of ways that you and your friend can be selected divided by the total number of possible pairs. There is only 1 way to select you and your best friend out of the class of 16, so the probability is:

P(you and your best friend are chosen) = 1/120

Therefore, the probability that you and your best friend will be chosen is 1/120. Option (B) is the correct answer.

Answer:

The probability of choosing one specific student out of 16 is 1/16. After one student is chosen, there are 15 students left, so the probability of choosing the second specific student out of the remaining 15 is 1/15. The probability of both events happening is the product of the probabilities: (1/16) x (1/15) = 1/240. However, there are two ways that the students can be chosen (your friend first, then you or you first, then your friend), so we need to multiply the probability by 2: 2 x (1/240) = 1/120. Therefore, the probability of you and your best friend being chosen is 1/120. Answer: 1/120.

Answer:

Step-by-step explanation:

y= -1/4x

Answer:

no

Step-by-step explanation:

linear must be straight

Answer:

35

Step-by-step explanation:

Simply plug in the value of your 'x' and 'y':

x = 4.5

y = 5.2

\(2(4.5)+5(5.2)=9+26=35\)

Answer:

The table represents a nonlinear function because the rate is not constant.

Step-by-step explanation:

As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.

Answer:

x = -3

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable. i really hope this makes sense and helps:)

Step-by-step explanation:

1

Distribute

10−4(6+2)=74

10{\color{#c92786}{-4(6x+2)}}=7410−4(6x+2)=74

10−24−8=74

10{\color{#c92786}{-24x-8}}=7410−24x−8=74

2

Subtract the numbers

10−24−8=74

{\color{#c92786}{10}}-24x{\color{#c92786}{-8}}=7410−24x−8=74

2−24=74

{\color{#c92786}{2}}-24x=742−24x=74

3

Subtract the same term from both sides of the equation

2−24=74

2-24x=742−24x=74

2−24−2=74−2

2-24x{\color{#c92786}{-2}}=74{\color{#c92786}{-2}}2−24x−2=74−2

4

Simplify

Subtract the numbers

Subtract the numbers

again

−24=72

-24x=72−24x=72

5

Divide both sides of the equation by the same term

−24=72

-24x=72−24x=72

−24−24=72−24

\frac{-24x}{{\color{#c92786}{-24}}}=\frac{72}{{\color{#c92786}{-24}}}−24−24x=−2472

6

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=−3

x=-3x=−3

Solution

x=-3

The system of equation to describe Tammy and Luke's outcome is as follows:

5x + y = 23

8x + 5y = 30

Tammy and Luke take part in a game in which they earn the same number of points for each catch and lose the same number of points for each miss.

let

x =  number of points for a catch

y = the number of points for a miss.

Tammy makes 5 catches and misses 1, ending the game with 23 points.

Therefore,

5x + y = 23

Luke earns 8 catches and has 5 misses. Luke ends the game with 30 points. Therefore,

8x + 5y = 30

Hence, the combine equation to describe the outcome is as follows:

5x + y = 23

8x + 5y = 30

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Answer:

Step-by-step explanation:

The graph f(x) = x^2 is shifted along the OX axis to the left by 2 and reflected relative to this axis:

The graph of the equation x² + y - 36 = 0 is symmetric with respect to the y-axis and the origin, but not with respect to the x-axis.

x² + y - 36 = 0

Symmetry with respect to the x-axis:

Replace y with -y: x² - y - 36 = 0

This equation is not equivalent to the original equation, so the graph is not symmetric with respect to the x-axis.

Symmetry with respect to the y-axis:

Replace x with -x: (-x)² + y - 36 = 0

Simplifying, we get x² + y - 36 = 0, which is equivalent to the original equation.

Therefore, the graph is symmetric with respect to the y-axis.

Symmetry with respect to the origin:

Replace x with -x and y with -y: (-x)² + (-y) - 36 = 0

Simplifying, we get x² + y - 36 = 0, which is equivalent to the original equation.

Therefore, the graph is symmetric with respect to the origin.

Hence, the graph of the equation x² + y - 36 = 0 is symmetric with respect to the y-axis and the origin, but not with respect to the x-axis.

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Answer:

Step-by-step explanation:

Let's just say this circle has value x.

x increases by 5%, or 0.05 of x.

x + 0.05x = 1.05x

1.05x now increases by 5% again:

1.05x + 0.05(1.05x) = 1.1025x

The total increase is equal to (1.1025-1)*100 = 10.25%

Hope this helps!

Answer:

To one decimal place,

y = 16.3 m

Step-by-step explanation:

Using SOHCAHTOA,

In this case we need to use CAH,

WE know the angle = 25 and the hypotenuse H = 18,

so,

y = adjacent

\(cos(angle) = y/H\\y = (18)(cos(25))\\y = 16.3135\\y = 16.3\)

Answer: 16.3 in.

Step-by-step explanation:

use SOH CAH TOA

cos x = adj/hyp

cos 25  = y/18

18 cos 25  = y

y= 16.3

Answer:

a = 1

Step-by-step explanation:

(a) The Poisson approximation is 0.019 and the binomial probability is 0.134. (b) The Poisson approximation is 0.187 and the binomial probability is 0.039. (c) The Poisson approximation is 0.135 and the binomial probability is 0.348. (d) The Poisson approximation is 0.167 and the binomial probability is 0.206.

(a) The Poisson approximation is

P(X=2) =\((e^(-0.8)*(0.8^2))/2!\)

= 0.019.

The binomial probability is

P(X=2) = \((8C2)*(0.1^2)*(0.9^6)\)

= 0.134.

(b) The Poisson approximation is

P(X=9) = \((e^(-9.5)*(9.5^9))/9!\)

= 0.187.

The binomial probability is

P(X=9) = \((10C9)*(0.95^9)*(0.05^1)\)

= 0.039.

(c) The Poisson approximation is

P(X=0) = \((e^(-1)*(1^0))/0! = 0.135.\)

The binomial probability is

P(X=0) = \((10C0)*(0.1^0)*(0.9^10)\)

= 0.348.

(d) The Poisson approximation is

P(X=4) = \((e^(-1.8)*(1.8^4))/4!\)

= 0.167.

The binomial probability is

P(X=4) = \((9C4)*(0.2^4)*(0.8^5)\)

= 0.206.

The Poisson approximation is used when the number of trials is large and the probability of success is small. It is a good approximation for the binomial distribution in these cases. When n is smaller and p is larger, the Poisson approximation is not as accurate. In the cases provided, the Poisson approximation is close to the binomial probability when n is small and p is small, but it is not as accurate when n is larger and p is closer to 1. The Poisson approximation is always smaller than the binomial probability.

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Answer:

65

Step-by-step explanation:

180-115=65

It needs to be a total of 180 so just do what I did :)

Answer:

here is the answer

Step-by-step explanation:

Thus, the square of 95 will be 9025.

Answer:

------------------------

To be a perfect square both prime factors must be squares so the least number to be multiplied is:

Based on the information, there are 25 cars with good brakes and good tires.

Total cars = 50

Cars with faulty brakes = 10

Cars with faulty tires = 15

Cars with faulty brakes and good tires = 2

Let's calculate the number of cars with good brakes and good tires:

Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires

= 10 + 15 - 2

= 25

Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires

= 50 - 25

= 25

Therefore, there are 25 cars with good brakes and good tires.

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Answer: 48

Step-by-step explanation:

The amount of syrup they have is given by the equation A = 11.1 grams

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of grams of sugar syrup Stefanie and John have be A

Now , the amount of grams of sugar syrup Stefanie has = 18 grams

The percentage of sugar syrup with Stefanie = 20 %

So , 20 % of 18 grams = ( 20 / 100 ) x 18

20 % of 18 grams = 3.6 grams

Now , the amount of grams of sugar syrup John has = 30 grams

The percentage of sugar syrup with John = 25 %

25 % of 30 grams = ( 25/100 ) x 30

25 % of 30 grams = 7.5 grams

So , amount of grams of sugar syrup Stefanie and John have A = 3.6 + 7.5

Amount of grams of sugar syrup Stefanie and John have A = 11.1 grams

Hence , the amount of grams of syrup they have is 11.1 grams

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Answer:

A(s) = 255.8857

Step-by-step explanation:

Find the area of the surface correct to four decimal places by expressing the area in terms of a single integral and using your calculator to estimate the integral. The part of the surface z = e^-x^2-y^2 that lies above the disk x2 + y2 ≤ 81.

Given that:

\(Z = e^{-x^2-y^2}\)

By applying rule; the partial derivatives with respect to x and y

\(\dfrac{\partial z }{\partial x}= -2xe^{-x^2-y^2}\)

\(\dfrac{\partial z }{\partial y}= -2ye^{-x^2-y^2}\)

The integral over the general region D with respect to x and y is :

\(A(s) = \int \int _D \sqrt{1+(\dfrac{\partial z}{\partial x} )^2 +(\dfrac{\partial z}{\partial y} )^2 }\ dA\)

\(A(s) = \int \int _D \sqrt{1+(-2xe^{-x^2-y^2})^2 +(-2ye^{-x^2-y^2})^2 } \ dA\)

\(A(s) = \int \int _D \sqrt{1+4x^2({e^{-x^2-y^2})^2 +4y^2({e^{-x^2-y^2}})^2 }} \ dA\)

\(A(s) = \int \int _D \sqrt{1+(4x^2+4y^2)({e^{-x^2-y^2})^2 }} \ dA\)

\(A(s) = \int \int _D \sqrt{1+(4x^2+4y^2)e^{-2}({{x^2+y^2}) }} \ dA\)

By relating the equation to cylindrical coordinates

\(A(s) = \int \int_D \sqrt{1+4r^2 e^{-2r^2} }. rdA\)

The bounds for integration for the circle within the cylinder \(x^2+y^2 =81\) is r =9

\(A(s) = \int \limits ^{2 \pi}_{0} \int \limits^9_0 r \sqrt{1+4r^2 e^{-2r^2} }. dr d\theta\)

\(A(s) = {2 \pi} \int \limits^9_0 r \sqrt{1+4r^2 e^{-2r^2} }\ dr\)

Using integral calculator to estimate the  integral,we have:

A(s) = 255.8857