What is the solution to the equation?

t+55=466

t+55

The minimum number οf peοple οver age 32 is 23.

Standard deviatiοn is a measure οf the amt. οf variatiοn  in a set οf data values. It is a way tο quantify hοw much the individual data pοints differ frοm the mean οf the dataset.

Tο determine the minimum sample size required tο estimate the pοpulatiοn mean cοnsumptiοn οf meat per week, we can use the fοllοwing fοrmula:

\(n = (Z^{2} * \sigma ^{2}) / E^{2}\)

where:

n is the sample size

Z is the Z-scοre assοciated with the desired level οf cοnfidence (80% = 1.28)

σ is the standard deviatiοn

E is the maximum errοr

Plugging in the given values, we get:

\(n = (1.28^{2} * 1^{2}) / 0.09^{2}\)

n = 22.91

Rοunding up tο the next integer, we get a minimum sample size οf 23 peοple οver age 32.

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Answer: Oh no... Anyway's wanna ask me a question about sex ed?

Step-by-step explanation: x=495

,P=241,525

Step-by-step explanation:

Given that

Profit=Total revenue - total cost

P= R -C

Also given that

So

Above equation is the total profit in terms if x.

Now to find maximum value of P we have to differentiate above equation with respect to x

So

⇒x=495

So total profit at x=445  ,P=241,525

Answer:

The profit function is:

\(P(x)=-x^2+1280x-3300\)

The maximum value is 406, 300 occurring when x = 640.

Step-by-step explanation:

The revenue function is:

\(R(x)=1300x-x^2\)

And the cost function is:

\(C(x)=3300+20x\)

Then the total profit function will be:

\(P(x)=R(x)-C(x)=(1300x-x^2)-(3300+20x)=-x^2+1280x-3300\)

This is a quadratic function.

Therefore, the maximum value of the total profit will occur at its vertex point.

The vertex of a quadratic is given by:

\(\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)\)

In this case, a = -1, b = 1280, and c = -3300.

Then the point at which the maximum profit occurs is at:

\(\displaystyle x=-\frac{1280}{2(-1)}=640\)

And the maximum profit will be:

\(P(640)=-(640)^2+1280(640)-3300=406300\)

Answer:

15. $8.47

16. $14.68

17. $121.04

18. $60.52

Step-by-step explanation:

15. Sale tax Round to the nearest cent=

8.65% of $97.89 = 0.0865 × $97.89 = $8.47

16. Tips Round to the nearest cent=

15% of $97.89 = 0.15 × $97.89 = $14.68

17. Total =

$97.89 + $8.47 + $14.68 = $121.04

18. Amount each person pays Round to the nearest cent =

$121.04/2 = $60.52

Hello!

∠AED and ∠BEC are opposite angles

so ∠AED = ∠BEC = 36°.

Answer:

B,A,B

Step-by-step explanation:

Let's split this problem into several steps:

Let's first put it into the point-slope form:

    ⇒ Point-slope form ⇒ \((y-y0)=m(x-x0)\)

Consider the information given:

Let's plug the numbers in:

  \(y - 15=-4(x+4)\\\)

To put this format into slope-intercept form, we will solve for y:

 ⇒as in, move everything else to one side and y by itself on the other

    \(y - 15=-4(x+4)\\y-15=-4x-16\\y = -4x-16+15\\y=-4x-1\)

Thus the equation of the line is --> \(y = -4x - 1\)

Hope that helps!

The jeweler made 4 bracelets and 6 necklaces using 172 grams of gold.

An equation is a mathematical statement that shows that two expressions are equal. It contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Equations are used to solve problems by finding the values of the variables that make the equation true.

Let x be the number of bracelets made, and y be the number of necklaces made.

Then, we can create the following system of equations:

Equation 1: 7x + 24y = 172 (the total amount of gold used is 172 grams)

Equation 2: y = x + 2 (the number of necklaces made is 2 more than the number of bracelets made)

So, the variables are x (the number of bracelets made) and y (the number of necklaces made).

We can solve this system of equations to find the values of x and y. We can use substitution or elimination to solve for one variable and then plug it into the other equation.

Substitution method:

From Equation 2, we have y = x + 2. Substituting this into Equation 1, we get:

7x + 24(x+2) = 172

7x + 24x + 48 = 172

31x = 124

x = 4

So, the jeweler made 4 bracelets.

Plugging this into Equation 2, we get:

y = x + 2 = 4 + 2 = 6

So, the jeweler made 6 necklaces.

Therefore, the jeweler made 4 bracelets and 6 necklaces using 172 grams of gold.

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Answer:

the linear equation is y=2 so anything that lands on that line after it is graphed, so the option (3,2)

Step-by-step explanation:

Answer:

A standard deviation is a quantity calculated to indicate the extent of deviation for a group as a whole.

Step-by-step explanation:

Answer:

X+7

Step-by-step explanation:

Remove the parentheses:

4x+2-3x+5

Collect like terms:

4x-3x=x

2+5=7

Solution:

X+7

Hey there!

(4x + 2) - 3x + 5

= 4x + 2 - 3x + 5

COMBINE the LIKE TERMS

= (4x - 3x) + (2 + 5)

= 4x - 3x + 2 + 5

= 1x + 7

= x + 7

Therefore, your answer is: x + 7

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Sarah is incorrect, the sum will be a rational number, the first option is the correct one.

We say that some sets are closed under the addition if, when we add two elements of that set, the outcome also belongs to that set.

For example, the set of real numbers is closed under addition, and also happens for the case of rational numbers.

If we add two rational numbers, the outcome must be rational.

In this case the two numbers are rational, thus, the outcome of the sum will be rational, not irrational, so Sarah is incorrect. The correct option is the first one.

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Answer:

Step-by-step explanation:

The probability of dying in one year = 1 - 0.99963 = 0.00037 The insurance company should charge a premium such that the expected return on all similar policies equals $600.

Given, Probability of a 28-year-old female lives through the year = 0.99963

Death benefit of policy = $600,000

The expected return of all similar policies = $600

Now, the probability of dying in one year can be calculated by subtracting the probability of living through the year from 1.

Since there are only two possible outcomes of this policy, either the person will live or she will die.

Therefore, the expected value of the policy is given by: Expected value = (Probability of living * Amount paid if the person lives) + (Probability of dying * Amount paid if a person dies)

Let x be the premium the company should charge. Then we can form the following equation: Expected value = (0.99963 * x) + (0.00037 * $600,000)Expected return of all similar policies = $600Therefore,0.99963x + 0.00037($600,000) = $600
Solving for x,0.99963x + $222 = $600
0.99963x = $378
x = $378 / 0.99963
x ≈ $ 378,450

The company should charge the premium of $378,450 for this policy if it wants an expected return of $600 from all similar policies.

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sides of the rectangle:

4

x+1

Area of the rectangle = product of the sides

4 (x+1 )

Apply distributive property:

4(x)+4(1)

4x+4

So, the correct options are:

C. 4x+1

E.4x+4

Answer:

(L-6)(L+2)

Step-by-step explanation:

Let L be the length of the flower garden.

Then the width will be L-4.

The area of the flower garden = L*(L-4) =L²-4L

The area of the birdbath is 3*4 = 12 ft²

The area of the remaining space for planting is

= Area of flower garden - area of birdbath

We can factor the expression as follows:

taking common frome each two terms

Therefore, the number of feet left for planting is (L-6)(L+2) in factored form.

The answer will be slope is -5 and intercept is -2

What is the slope of line?
Given two line-side coordinates, use the slope formula to determine the slope of the line. The slope is defined as the ratio of the change in the y values to the change in the x values using the formula m=(y2-y1)/(x2-x1). x1 and y1 are represented by the first point's coordinates. The second points are located at x2, y2, and their locations. Whichever point you choose to classify as the first and which as the second doesn't matter.
y +2 = (-5/1)xy = -5x -2So the slope is -5 and intercept is -2
We know that formula two find the slope of the line joining two points.

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The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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a) The Reynolds number for a sphere moving in air is 83,333.33.

b) Yes, Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000).

c) The Reynolds number for a sphere moving in water is 150,000.

a) To calculate the Reynolds number for a sphere moving in air at 15 m/s with a diameter of 10cm, we can use the formula:

Re = (density * velocity * diameter) / viscosity

Where density of air is 1.2 kg/m³, viscosity of air is 1.78 x 10⁻⁵ Ns/m² and diameter is 0.1m.

Re = (1.2 * 15 * 0.1) / (1.78 x 10⁻⁵)

Re = 83333.33

b) Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000). So, the answer is yes.

c) To calculate the Reynolds number for a sphere moving in water at 15 m/s with a diameter of 10cm, we can use the formula:

Re = (density * velocity * diameter) / viscosity

Where density of water is 1000 kg/m³ and viscosity of water is 0.001 Ns/m².

Re = (1000 * 15 * 0.1) / (0.001)

Re = 150000

Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000).

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Answer:

First truth table:

~q      p V ~q      ~(p V ~q)

F        T               F

T        T               F

F        F               T

T        T               F

Second truth table:

~q      p V ~q      ~(p V ~q)

F        T                F

Step-by-step explanation:

The ~ operator is a negator (or NOT), such that it is the opposite of the sign.

The first column wants the negation of \(q\), and the values of q are

T, F, T, F, for the columns starting from the top. The negation for the columns are F, T, F, T.

For the second column, The 'V' operator is the OR operator, so a single True, or T will result in a True.

For the first row, not q is F, and T OR F will result in T.

For the second row, not q is T, and T OR T will result in T.

For the third row, not q is F, and F OR F will result in F.

For the fourth row, not q is T, and F OR T will result in T.

In the last column, we must figure out not p OR not q, which we did in the last column, so all we must do is figure out the NOT of values of the last column.

The values of the last column are T, T, F, T, respectively, so the not of the columns will be F, F, T, F.

In the bottom truth table, not q, will be F because the value of q is T. The second column wants p OR not q, and we already know that not q is F, and the value of p is T. T OR F is equal to T. In the last column, the question wants the not of p OR not q, which we did in the last column, so we must figure out the not value of the last column, which is T. The not of T is F.

The result of the unknown variable x is equivalent to 7

Linear equations are equation that has a leading degree of 1. Given the expression below:

5(3x − 15) + 16 = 5x + 11

Expand the expression

5(3x) - 5(15) + 16 = 5x + 11

15x - 75 + 16 = 5x + 11

15x - 5x - 59 - 11 = 0

10x - 70 = 0

10x = 70

Divide both sides by 10

10x/10 = 70/10

x = 7

Hence the value of x makes the equation true is 7

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Answer:right scalene

Step-by-step explanation:

The coefficients of the non-trivial linear relation are -3, 3, 0, and 0.

To determine whether the four vectors are linearly independent or linearly dependent, we can form a matrix with the vectors as columns and perform row operations to reduce it to row echelon form. If the resulting matrix has a row of zeros except for the last entry, which is non-zero, then the vectors are linearly dependent. If the resulting matrix has only zero rows, then the vectors are linearly independent.

| -27 3 3 -3 |

| 16 -3 -2 1 |

| 23 -4 -2 3 |

| -20 -2 2 -4 |

After row operations, we get:

| 1 3 0 0 |

| 0 0 1 0 |

| 0 0 0 1 |

| 0 0 0 0 |

Since the last row is all zeros except for the last entry, which is non-zero, the vectors are linearly dependent. A non-trivial linear relation is:

⇒-3(1st vector) + 3(2nd vector) + 0(3rd vector) + 0(4th vector) = 0

So, the coefficients of the non-trivial linear relation are -3, 3, 0, and 0.

Therefore,  the coefficients of the non-trivial linear relation are -3, 3, 0, and 0.

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By analyzing the statements of each person, we concluded that Ashley is the winner of the competition.

Ashley, Bennie, Corey, and Damien provided the following report on a competition: Ashley: Bennie ended up winning. Bennie: Corey took first place. Corey: I'm sorry, but I lost. I wasn't the first, Damien. We are aware that just one of them spoke the truth, while the other three made bogus claims. We analyze the statements carefully.

And The statements above lead us to the conclusion that

The winner of this contest was Ashley.

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Answer:

48

Step-by-step explanation:

2 x 4 x 6 or (4 x 6) x 2

the answer from, (a to e) is 10

Answer:

1 lakh= 10 then thousand

1milion=10 hundred thousand.

1crore=10ten lakh

1crore=10 milion

1 milion=10 lakh.

The equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is: R(x) = 250000 + 375x - 2.5x²

Equations are mathematical statements with two algebraic expressionsοn either sideοf an equals (=) sign. It illustrates the equality between the expressions writtenοn the left and right sides. To determine the valueοf a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

N(x) = 625 + 2.5x

The revenue R(x) will be the productοf the numberοf students enrolled and the fee charged per student. The fee charged per student will be (400 - x) dollars. So, the revenue function can be represented as:

R(x) = (625 + 2.5x)(400 - x)

Simplifying the expression, we get:

R(x) = 250000 + 375x - 2.5x²

Therefore, the equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is:

R(x) = 250000 + 375x - 2.5x²

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The elements using rooster-method:

A){3,4,5,6,7,8,9,10}

B){5,6,7,8,9,10,11,12,13,14}

What is rooster-method?

By listing the items of a set inside brackets, the roster method may be used to display the elements of a set. One of three ways to describe a set is in rooster form. The items of a set are listed in the roster form between curly or following brackets, with commas separating each element. When items repeat in the set, the roster approach actually has an issue. Because the elements do not follow a pattern or have a specific order, it is impossible to describe the elements in roster notation if the set has a significant number of elements or any repeated elements.

A)Set of natural odd numbers greater than 2 but less than 11:

Let us represent the set using symbol O:

O = {3,4,5,6,7,8,9,10}

B){x| x∈ N and 4<x<15}

Given that x is a natural number greater than 4 but less than 15.

X={5,6,7,8,9,10,11,12,13,14}

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E=egg farm

x=distantce between  the Berto´s trains and the meeting point.

t=time where the trains meet up

⇒110 miles/h                                          ⇒85miles/h

[---------------------------E----------------------]-------------------------------------X

[............12 miles.......][........34 miles.....][------------ x ----------------------]

distance between Berto´s train and Eduardo´s train=

=12 miles+34 miles=46 miles.

S=d/t      ⇒d=S*t

S=seed

d=distance

T=time

Eduardo´s train;

46 miles+x=t*110 miles/h  ⇒x=t*110 miles/h-46 miles  (1)

Berto´s train;

x=t*85 miles/h  (2)

With the equations (1) and (2) we suggest this system equations:

x=t* 110 miles/h-46 miles

x=t*85 miles/h

we solve this system equiations :

t*110 miles/h-46 miles=t*85 miles/h

110t miles/h-85t miles/h=46 miles

25 t miles/h=46 miles

t=46 miles/25 miles/h=1,84 hour  (≈1 hour, 50 minutes, 24 seconds)

x=t*85 miles/h=156,4 miles

Solution: 1,84 hour

Answer:

1.84

Step-by-step explanation:

I did it on edge it was correct

Answer:

Step-by-step explanation:

40 + 15 + 0.25m = 45 + 0.35m

       55 + 0.25m = 45 + 0.35m

                       10 = 0.10m

                        m = 100 miles