Someone answer these

Answer: Answer is below mate!

Step-by-step explanation: Have a brilliant day-Lily ^_^

Answer:

y=-8 or y=8

Step-by-step explanation:

First you swap the sides of the question:

y^2=64

then you simplify the equation and take the square root of both sides of the equation and remember to use both positive and negative roots:

y= + 8 (make sure the "+" has the line under it that looks like this _)

Then you separate the solution and write the solutions, with a + sign and - sign, which gives you your solution:

y=-8

y=8

or

y1=-8 , y2=8

The series is a divergent p-series with p = 1/6.

To determine whether the given series is convergent or divergent, we first need to understand the series itself. The series you've provided is:

Σ (n=1 to infinity) (1 / n√6)

This series is a p-series with p equal to the exponent of n in the denominator. In this case, p = 1/6 (since n√6 = n^(1/6)).

A p-series converges if p > 1 and diverges if p ≤ 1. In this case, p = 1/6, which is less than 1.

Your answer: The series is a divergent p-series with p = 1/6.

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Answer:

192

Step-by-step explanation:

16 × LCM = 3072

LCM = 3072 ÷ 16

LCM = 192

Answer:

\(Solution,\\a +b+c=270\\or, a +b = 270-c\\\)

\(cos(a+b) = cos(270-c)~~~~~~~~~and~~~~~~~~~sin(a+b)=sin(270-c)\\or, cos(a+b) = -sinc,~sin(a+b) = -cosc\\Now,\\L.H.S. = sina.cosb.sinc +cosa.sinb.sinc + sina.sinb.cosc\\~~~~~~~~~~= sinc (sina.cosb+cosa.sinb)+sina.sinb.cosc\\~~~~~~~~~~=sinc[sin(a+b)]+sina.sinb.cosc\\~~~~~~~~~~=sinc.-cosc+sina.sinb.cosc\\~~~~~~~~~~=cosc(sina.sinb-sinc)\\~~~~~~~~~~=cosc[sina.sinb+cos(a+b)]\\~~~~~~~~~~=cosc[sina.sinb+cosa.cosb-sina.sinb]\\~~~~~~~~~~=cosc.cosa.cosb\\~~~~~~~~~~=cosa.cosb.cosc \\\)

Hope I helped you!

Using Standard deviation, approximately, 95% of the area under the normal curve falls between 2 standard deviations.

The area under a normal curve represents the total probability of an event occurring for a normally distributed random variable.

A normal distribution is a bell-shaped curve that describes a continuous probability distribution of a variable, where most values cluster around the mean, and the curve tapers off symmetrically on both sides.

The total area under the normal curve is equal to 1 or 100%, which means that the probability of all possible outcomes adds up to 1 or 100%.

The Empirical Rule states that:

Hence,

Approximately, 95% of the area under the normal curve falls between 2 standard deviations.

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Answer:

1. first, add the amount of people who cannot swim. they need swim lessons.

2.  add up the people in 5th grade who can swim and the people who cannot. same with the 4th graders.

4.  the students that cannot swim, add up the 5th and 6ths graders that cannot swim.

5. add up all of the SOHO swimmers.

6. subtracts SOHO swimmers from swim academy.

set up an equation like this for #7

total number of students that can swim/ total amount of 5th graders = x/100

use the fraction on the left and multiply it by 100.

same with number 8

Step-by-step explanation:

The correct function to model the value of the piece of art is Y(t) = 4000(1 + 0.02)^x

To model the value of the piece of art over time, we can use the formula for compound interest, which is:

A = P(1 + r/n)^(nt)

where:

A = the final amount

P = the initial amount

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the time (in years)

In this case, we have:

P = $4000

r = 2% = 0.02 (since the value of the art increases at a rate of 2% per year)

n = 1 (since the interest is compounded once per year)

x = the time (in years)

Substituting these values into the formula, we get:

A = 4000(1 + 0.02/1)^(1x)

Simplifying the expression, we get:

A = 4000(1 + 0.02/1)^x

So, the correct function to model the value of the piece of art over time is: Y(t) = 4000(1 + 0.02)^x

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Answer:

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

Let the number of quarters be x, then the number of dimes is x - 10.

We know that quarter is $0.25 and dime is $0.10.

The total amount is $10.90.

Set up equation and solve for x:

Najee has 34 quarters and 34 - 10 = 24 dimes.

Answer:

12 small snowflakes

Step-by-step explanation:

if she only has 60 minutes to make them and each small snowflake takes 5 minutes, then we solve with the equation:

n = 60/5

*edit: i forgot how to write an equality lol, that isn't the answer

Answer:

12 small snowflakes

Step-by-step explanation:

Because the math equals out to that

Answer: It would be "290 in.2"

Step-by-step explanation:

The individuals in this set are C) Basketball players

This is because it's listing all the player names with their associated stats.

====================================================

The data contains B) 3 variables, 2 of which are quantitative

The variables are

The first two variables are quantitative as they deal with numeric values, and it makes sense to do things like find the average. The last variable is qualitative. It is also an ordinal variable because we can order the labels from freshman to senior.

This data on the statistics from the basketball game contains 3 variables, 2 of which is quantitative.

A quantitative variable is a variable that can be used to show the degree of magnitude. This means that quantitative variables can be represented with numbers.

The quantitative variables are free throw percentage and the number of assists.

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Answer:

x=2 y=-1

Step-by-step explanation:

2x+x-3=3

3x-3=3

3x=6

x=2

y=2-3

y=-1

The website which is cheaper for Caroline to buy the spice mix is French website.

Given data ,

Let's calculate the total cost for Caroline from both websites and determine which one is cheaper.

British website:

Price for 100 g = (£0.90 / 25 g) * 100 g = £3.60

Since the British website offers free delivery, the total cost remains £3.60.

French website:

Price for 100 g = (€1.20 / 50 g) * 100 g = €2.40

Delivery cost = €0.80

On simplifying the equation , we get

To convert the price and delivery cost to pounds, we'll use the conversion rate: €1 = £0.85.

Price in pounds = €2.40 * £0.85 = £2.04

Delivery cost in pounds = €0.80 * £0.85 = £0.68

Total cost = Price in pounds + Delivery cost = £2.04 + £0.68 = £2.72

Comparing the total costs:

British website: £3.60

French website: £2.72

Hence , Caroline would pay £2.72 for the spice mix from the cheaper website, which is the French website.

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Answer:17

Step-by-step explanation:

Answer:

B, A, D, C

Step-by-step explanation:

Covert all units into grams.

540 g = 540 g

180,000 mg = 180g

0.8 tonnes = 800000 g

2.3 kg = 2300 g

Arrange in ascending order.

180,000 mg, 540 g, 2.3 kg, 0.8 tonnes

Answer:Rx + Py = RP.

Step-by-step explanation: The x-intercept of the line is (-P, 0), which means that the line passes through the point (-P, 0). Similarly, the y-intercept of the line is (0, -R), which means that the line passes through the point (0, -R).

We can use these two points to find the slope of the line using the slope formula:

slope = (change in y) / (change in x) = (-R - 0) / (0 - (-P)) = -R / P

Now that we have the slope of the line, we can use the point-slope formula to find the equation of the line:

y - y1 = m(x - x1)

where m is the slope of the line, and (x1, y1) is one of the points that the line passes through. Let's use the point (-P, 0):

y - 0 = (-R / P)(x - (-P))

Simplifying this equation, we get:

y = (-R / P)x + R

To write this equation in standard form, we need to move all the variables to one side of the equation:

(R / P)x + y = R

Multiplying both sides by P, we get:

Rx + Py = RP

Therefore, the equation of the line in standard form is Rx + Py = RP.

If a student is selected at random from this senior class,  the probability that the student is:  

(i) a male and has a driver's license is 0.3825,

(ii) a female and has a driver's license is 0.385.

We need to find the probability that a student is (i) a male and has a driver's license, and (ii) a female and has a driver's license, given that there are 400 seniors, 180 of which are males.

(i) A male and has a driver's license:
Step 1: Find the number of males with driver's licenses: 180 males * 85% = 153 males.
Step 2: Calculate the probability: (Number of males with driver's licenses) / (Total number of seniors) = 153/400.
Step 3: Simplify the probability: 153/400 = 0.3825.

(ii) A female and has a driver's license:
Step 1: Calculate the number of females: 400 seniors - 180 males = 220 females.
Step 2: Find the number of females with driver's licenses: 220 females * 70% = 154 females.
Step 3: Calculate the probability: (Number of females with driver's licenses) / (Total number of seniors) = 154/400.
Step 4: Simplify the probability: 154/400 = 0.385.

So, the probability that a student selected at random from this senior class is: (i) a male and has a driver's license is 0.3825, and (ii) a female and has a driver's license is 0.385.

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If a student is selected at random from this senior class,  the probability that the student is:  

(i) a male and has a driver's license is 0.3825,

(ii) a female and has a driver's license is 0.385.

We need to find the probability that a student is (i) a male and has a driver's license, and (ii) a female and has a driver's license, given that there are 400 seniors, 180 of which are males.

(i) A male and has a driver's license:
Step 1: Find the number of males with driver's licenses: 180 males * 85% = 153 males.
Step 2: Calculate the probability: (Number of males with driver's licenses) / (Total number of seniors) = 153/400.
Step 3: Simplify the probability: 153/400 = 0.3825.

(ii) A female and has a driver's license:
Step 1: Calculate the number of females: 400 seniors - 180 males = 220 females.
Step 2: Find the number of females with driver's licenses: 220 females * 70% = 154 females.
Step 3: Calculate the probability: (Number of females with driver's licenses) / (Total number of seniors) = 154/400.
Step 4: Simplify the probability: 154/400 = 0.385.

So, the probability that a student selected at random from this senior class is: (i) a male and has a driver's license is 0.3825, and (ii) a female and has a driver's license is 0.385.

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To find the values of r for which the function y = e^(rx) satisfies the differential equation y'' + 7y' + 10y = 0, we need to substitute the function into the equation and solve for r.

First, we find the derivatives of y:

y' = d/dx(e^(rx)) = re^(rx)

y'' = d^2/dx^2(e^(rx)) = r^2e^(rx)

Substituting these derivatives into the differential equation, we have:

r^2e^(rx) + 7re^(rx) + 10e^(rx) = 0

We can factor out e^(rx) from this equation:

e^(rx)(r^2 + 7r + 10) = 0

For this equation to hold, either e^(rx) = 0 or (r^2 + 7r + 10) = 0.

Since e^(rx) is always positive and never equal to zero, we focus on the quadratic equation:

r^2 + 7r + 10 = 0

We can solve this quadratic equation by factoring:

(r + 2)(r + 5) = 0

Setting each factor equal to zero, we get two possible solutions:

r + 2 = 0 --> r = -2

r + 5 = 0 --> r = -5

Therefore, the values of r for which the function y = e^(rx) satisfies the differential equation y'' + 7y' + 10y = 0 are r = -2 and r = -5.

To determine the values of r for which the function y = e^(rx) satisfies the equation y'' + 7y' + 10y = 0, we need to find the values of r that make the function a solution to the given differential equation. This can be achieved by substituting the function into the differential equation and solving for r.

By doing so, we can obtain the values of r that satisfy the equation.

The given differential equation is y'' + 7y' + 10y = 0, where y'' represents the second derivative of y with respect to x and y' represents the first derivative of y with respect to x.

We can substitute the function y = e^(rx) into the differential equation to obtain:

(e^(rx))'' + 7(e^(rx))' + 10(e^(rx)) = 0

Differentiating e^(rx) twice yields:

r^2e^(rx) + 7re^(rx) + 10e^(rx) = 0

Factoring out e^(rx), we have:

e^(rx)(r^2 + 7r + 10) = 0

For this equation to hold true for all x, the expression in the parentheses must equal zero. Therefore, we solve the quadratic equation r^2 + 7r + 10 = 0.

Using factoring or the quadratic formula, we find the roots of the equation: r = -2 and r = -5.

Hence, the values of r that make the function y = e^(rx) satisfy the differential equation y'' + 7y' + 10y = 0 are r = -2 and r = -5.

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Answer:

155.555555%

4200/2700=1.55555

Step-by-step explanation:

Answer:

  7/4 mi/h

Step-by-step explanation:

To find miles per hour, divide miles by hours:

  (7/8 mi)/(1/2 h) = 7/4 mi/h

Answer:

(-2,-3)

Step-by-step explanation:

The explanation in the photo

Answer:

(-1/3, 41/3)

Step-by-step explanation:

x + 2y = 13

x + 8y = 11  (Multiply by -1)

-x -8y = -11

x + 2y = 13

    -6y = 2  Divide both sides by -6

y = \(\frac{-2}{6}\) = \(\frac{-1}{3}\)

y = \(\frac{-1}{3}\)

Solve for x by substituting \(\frac{-1}{3}\) for y

x = -2y + 13

x = -2(\(\frac{-1}{3}\)) + 13

x = \(\frac{2}{3}\) + 13

x = \(\frac{2}{3}\) + \(\frac{39}{3}\)

x = \(\frac{41}{3}\)

Helping in the name of Jesus.

The measure of arc XZ is 115 degrees and  measure of arc XYZ is 245 degrees

The given circle has a centre W

The measure of central angle is 115 degrees

We have to find the measure of the arc XZ

The central angle is equal to measure of the arc

115 = measure of arc XZ

Arc XZ =115 degrees

We know that the circle has a measure of 360 degrees

So the remaining angle is 360-115 = 245 degrees

The measure of arc XYZ is 245 degrees

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Answer:

Step-by-step explanation:

In a tent, there are nine boys.

There were five tents.

5 tents containing 9 boys can equal 45 boys.

(5 x 9 = 45)

In a cabin, there are seven boys.

There were four cabins.

4 cabins containing 7 boys can equal 28 boys.

(4 x 7 = 28)

Now, to find all the boys, add the numbers together.

28 boys with 45 boys will equal 73 boys.

Please check my answer for no one, not even me is right.

Good luck :)

Answer:

(a) k = 4 (b) y = -2x+9

Step-by-step explanation:

I know I solved it in reverse, but I hope you still be able to understand the way I solved.

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

And if you find my answer helpful, please consider marking it Brainliest. Thnx

Answer:< 14 books/year

Step-by-step explanation:

(64/(4 2/3) = 13.714 books/year

We possibly need to round since 0.714 books is silly, and I don't know if the enty accepts decimals. If it does, then 13.714 is correct (books/year). If not, use the < 14 books/year option. > 13 is also an option. but further from the truth.

The Jacobian matrix of a vector-valued function of several variables is the matrix of all its first-order partial derivatives.  Here Jacobian is:

J =\(\left[\begin{array}{ccc}8v&8u\\9&-1\\\end{array}\right]\)

To find the Jacobian of the transformation x = 8uv, y = 9u - v, we need to compute the partial derivatives of x and y with respect to u and v are:

∂x/∂u = 8v

∂x/∂v = 8u

∂y/∂u = 9

∂y/∂v = -1

The Jacobian matrix is then:

J = [∂(x,y)/∂(u,v)] =  \(\left[\begin{array}{ccc}\frac{∂y}{∂v} &\frac{∂x}{∂v} \\\frac{∂y}{∂u} &\frac{∂y}{∂v} \\\end{array}\right]\)

So, in this case, the Jacobian is:

J =\(\left[\begin{array}{ccc}8v&8u\\9&-1\\\end{array}\right]\)

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The optimal solution is Z = -74, X = 4, Y = 2.

Maximize Z = 20X + 3Y

Subject to:

A1: 2X + Y + S1 = 10

R2: 3X + 3Y + S2 = 18

R3: 2X + 4Y + S3 = 20

X = 0, Y ≥ 0

The initial tableau for the simplex method is given below.

The column labels represent the variables, and the row labels represent the equations and slack variables. The bottom row (RHS) represents the right-hand side values of the equations.

To find the optimal solution, we'll perform the simplex method iterations:

Iteration 1:

Pivot column: Y (the most negative coefficient in the Z row)

Pivot row: S2 (smallest positive ratio of RHS to coefficient in the pivot column)

Performing row operations:

Divide row S2 by 3 to make the pivot element (coefficient of Y) equal to 1.

Row S2 = Row S2 / 3

Row S2: 1 | 1 | 0 | 1/3 | 0 | 6

Eliminate other elements in the pivot column:

Row Z = Row Z - (3 * Row S2)

Row S1 = Row S1 - (1 * Row S2)

Row S3 = Row S3 - (0 * Row S2)

Row Z: 20 | 0 | 0 | -3 | 0 | -18

Row S1: 1 | 0 | 1 | -1/3 | 0 | 4

Row S3: 2 | 1 | 0 | -2/3 | 1 | 14

Iteration 2:

Pivot column: X (the most negative coefficient in the Z row)

Pivot row: S1 (smallest positive ratio of RHS to coefficient in the pivot column)

Performing row operations:

Divide row S1 by 1 to make the pivot element (coefficient of X) equal to 1.

Row S1 = Row S1 / 1

Row S1: 1 | 0 | 1 | -1/3 | 0 | 4

Eliminate other elements in the pivot column:

Row Z = Row Z - (20 * Row S1)

Row S2 = Row S2 - (0 * Row S1)

Row S3 = Row S3 - (2 * Row S1)

Row Z: 0 | 0 | -20 | -2/3 | 0 | -74

Row S2: 1 | 1 | 0 | 1/3 | 0 | 6

Row S3: 0 | 1 | -2 | -2/3 | 1 | 6

Since there are no negative coefficients in the Z row, we have reached the optimal solution.

Final Solution:

Z = -74 (maximum value of the objective function)

X = 4

Y = 2

S1 = 0

S2 = 6

S3 = 6

Therefore, the maximum value of Z is -74, and the optimal values for X and Y are 4 and 2, respectively. The slack variables S1, S2, and S3 are all zero, indicating that all the constraints are satisfied as equalities.

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