Lamar drinks 8 fluid ounces of water with breakfast, 6 fluid ounces of water with his vitamins, 16 fluid ounces of water with his lunch, 16 fluid ounces of water with his dinner, and 32 fluid ounces of water from a bottle he carries throughout the day. Write and evaluate a numerical expression for the amount of water in fluid ounces that he drinks in a week.

Answer:

525 minutes

Step-by-step explanation:

Given that the monthly fee for the phone is $19 and the call charges rate is $0.02 per minute.

Her monthly budget is $29.50.

Let Tamara can make a maximum number of n minutes call in a month.

So, call charges for n minutes = $0.02n

Total monthly expenses on her phone = 19+0.02n

As her monthly budget is $29.50.

So, 19+0.02n=29.50

0.02n=29.50-19

0.02n=10.50

n=10.50/0.02

n=525

Hence, she can make a maximum of 525 minutes call.

x is a qualitative variable and y is a quantitative variable then the covariance between x and y = 6.499

Variables that are not measurement variables. Their values do not result from measuring or counting. Designator - Values that are used to identify individuals in a table. Designator values usually do not repeat in a table, but variable values often do repeat.

Variables whose values result from counting or measuring something. Qualitative Variables - Variables that are not measurement variables. Their values do not result from measuring or counting. Designator - Values that are used to identify individuals in a table.

Given that,

x is a qualitative variable

y is a quantitative variable

Mean of y for the group coded 0 = 8.88

Mean of y for the group coded 1 = 12.3

The variance of x is = 0.27

Then the covariance between x and y

IF x and Y are independent then Cov(x,y)= 0

Var(x + y) = Var X + Var y + 2cov(x,y)

Var(x + y) = 8.88 + 12.3 + 0

Var(x + y) = 21.18

Z1= X - E (X)/ √Var (X) and

Z2 = Y - E(Y)/ √Var Y

Var (z1+z2) = Var (z1) + Var(z2) + 2Cov (z1,z2)

Cov (z1,z2)= E(z1,z2) - E(z1) E(z2)

= E(z1,z2) [as E(z1) E(z2)= 0]

= E {[ X-E(X)] [Y-E(Y)]/ √Var(X) Var(y)}

= E{[ X- 0.27][Y- 0.27]/√8.88(12.3)}

= E{[ XY - 0.27X - 0.27Y + 0.072]/√109.224

= E{[ XY - 0.27X - 0.27Y + 0.072]/ 10.45

= [8.88 * 12.3 - 0.27 * 8.88 - 0.27 * 12.3 + 0.072]/ 10.45

= [109.224 - 2.39 - 3.321 + 0.072]/ 10.45

= 103.585/ 10.45

= 9.91

Var (z1+z2) = Var (z1) + Var(z2)

= {E (X)/ √Var (X)} +{ Y - E(Y)/ √Var Y}

= {8.88/√8.88 } + {12.3/√12.3}

=  {8.88/2.97} + {12.3/3.5}

= 2.989 + 3.51

= 6.499

Therefore,

x is a qualitative variable and y is a quantitative variable then the covariance between x and y = 6.499

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3633 is the difference of these numbers.

To subtract in mathematics is to take something away from a group or a number of objects. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference. We frequently employ subtraction in our daily lives. Subtraction is used, for instance, to determine how much money was spent on the products we purchased, how much money is still in our possession, or how much time is left to complete a task.

Subtraction can be applied in a variety of real-world situations. Assume you had five apples and your friend had three. We may calculate the quantity of remaining apples by subtracting: 5 - 3 = 2.

Given Data

9832 - 6199

Subtracting,

= 9832 - 6199

= 3633

3633 is the difference of these numbers.

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The probability of drawing 3 aces and 2 kings is 9.23×\(10^{-6}\) and the probability of a “full house” is 0.00144.

5 cards are drawn from a standard deck of 52 cards.

a) Probability that we draw 3 aces and 2 kings

Number of cards = 52

No of aces = 4

No of kings = 4

Number of cards drawn = 5

So, the probability becomes,

Text, letter

Description automatically generated with medium confidence

\(4C_{3}4C_{2}\)/\(52C_{5}\)

On simplification,

= 24 / 2598960

= 9.23×\(10^{-6}\)

So the probability of drawing 3 aces and 2 kings is 9.23 × \(10^{-6}\)

b) a “full house” (3 cards of one kind and 2 cards of another kind)

Since there are 13 sets of each type, we have to select any 2 kinds of it.

The probability becomes  

(2×\(13 C_{2}\)×\(4C_{3}\)\(4C_{2}\))/\(52C_{5}\)

On simplification,

= 3744 / 2598960

= 0.00144

So, The probability of a “full house” is 0.00144.

Therefore, the probability of drawing 3 aces and 2 kings is  

9.23×\(10^{-6}\) and the probability of a “full house” is 0.00144.

The possibility is the department of arithmetic concerning numerical descriptions of ways in all likelihood an event is to arise, or how in all likelihood it's miles that a proposition is authentic. The opportunity of an occasion varies between zero and 1, wherein, more, or less speaks to me, 0 suggests the impossibility of the event and 1 shows reality. The better the probability of an event, the much more likely it's far that the event will arise.

An easy example is the tossing of a fair (unbiased) coin. for the reason that coin is fair, the 2 effects ("heads" and "tails") are each equally probable; the opportunity of "heads" equals the possibility of "tails"; and considering no other outcomes are viable, the opportunity of either "heads" or "tails" is half off (which can additionally be written as 0.5 or 50%).

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the ratios of standing wave frequencies between adjacent harmonic modes are approximately 1.414, 1.225, 1.155, and 1.118.

The frequency of standing waves on a string with constant tension T and linear density μ is given by:

f = (1/2L)√(T/μ) * n

where L is the length of the string and n is the harmonic number.

For adjacent harmonic modes, we can find the ratio of their frequencies by dividing the expression for the frequency of the higher harmonic by the expression for the frequency of the lower harmonic. The length of the string cancels out, so we get:

f_2/f_1 = √2/1

f_3/f_2 = √3/√2

f_4/f_3 = √4/√3

f_5/f_4 = √5/√4

Simplifying these ratios, we get:

f_2/f_1 = 1.414

f_3/f_2 = 1.225

f_4/f_3 = 1.155

f_5/f_4 = 1.118

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(i) The function f(X, Y) = 25X² + Y² - 3XY - Y - 7 can be written in the form f(X, Y) = 1/2 (X, Y)t2 (X, Y) - (X, Y)t (B1, B2) + C, where B1 = -2(Y - 1/2), B2 = 0, and C = -1/2.

(ii) Using the conjugate gradient algorithm with an initial point \(\bar{X}\)0 = (0, 0)t, the search direction vector d1 is (0, 1).

(iii) The vector d1 is not 2-conjugate with the gradient ∇f(\(\bar{X}\)0) = (0, -1).

(i) To write f(X, Y) in the desired form, we need to find the terms involving the vector (X, Y) and write them in the form (X, Y)t.

f(X, Y) = 25X² + Y² - 3XY - Y - 7, let's expand the terms:

f(X, Y) = 25X² + Y² - 3XY - Y - 7

       = 25(X²) + (Y² - 3XY - Y) - 7

       = 25(X²) + (Y² - 3XY - Y) - 7

       = 25(X²) + (Y² - 3XY - Y + 9/4 - 9/4) - 7

       = 25(X²) + (Y² - 3XY + 9/4 - 4Y/2 + 1/4 - 1/4) - 7

       = 25(X²) + (Y² - 3XY + 9/4 - 4Y/2 + 1/4) - 7 - 1/4

       = 25(X²) + (Y² - 3XY + 9/4 - 4Y/2 + 1/4) - 7 - 1/4 + 9/4

       = 25(X²) + (Y² - 3XY + 9/4 - 4Y/2 + 1/4) - (7/4 - 9/4)

Now, let's group the terms involving (X, Y):

f(X, Y) = 25(X²) + (Y² - 3XY + 9/4 - 4Y/2 + 1/4) - (7/4 - 9/4)

       = 25(X²) + [(Y² - 3XY + 9/4) - (4Y/2 - 1/4)] - (7/4 - 9/4)

       = 25(X²) + [(Y² - 3XY + 9/4) - 2(2Y/2 - 1/4)] - (7/4 - 9/4)

       = 25(X²) + [(Y² - 3XY + 9/4) - 2(Y - 1/2)^2] - (7/4 - 9/4)

Comparing with the desired form f(X, Y) = 1/2 (X, Y)t2 (X, Y) - (X, Y)t (B1, B2) + C, we have:

B1 = -2(Y - 1/2)

B2 = 0

C = 7/4 - 9/4 = -1/2

Therefore, f(X, Y) can be written as:

f(X, Y) = 1/2 (X, Y)t2 (X, Y) - (X, Y)t (B1, B2) + C

       = 1/2 [(X, Y)t]^2 - (X, Y)t (-2(Y - 1/2), 0) - 1/2

(ii) The conjugate gradient algorithm starts with an initial point \(\bar{X}\)0 and constructs the search direction vector d1 as the negative of the gradient at that point: d1 = -∇

f(\(\bar{X}\)0).

\(\bar{X}\)0 = (0, 0)t, we need to find ∇f(\(\bar{X}\)0):

∇f(\(\bar{X}\)0) = (∂f/∂X, ∂f/∂Y)

Taking partial derivatives of f(X, Y) with respect to X and Y:

∂f/∂X = 50X - 3Y

∂f/∂Y = 2Y - 3X - 1

At \(\bar{X}\)0 = (0, 0)t, we have:

∇f(\(\bar{X}\)0) = (0, -1)

Therefore, the search direction vector d1 is:

d1 = -∇f(\(\bar{X}\)0) = -(0, -1) = (0, 1)

(iii) To prove that d1 is 2-conjugate with ∇f(\(\bar{X}\)0), we need to show that their dot product is zero:

d1 · ∇f(\(\bar{X}\)0) = (0, 1) · (0, -1) = 0 * 0 + 1 * (-1) = 0 - 1 = -1

Since the dot product is not zero (-1 ≠ 0), we can conclude that d1 is not 2-conjugate with ∇f(\(\bar{X}\)0).

Please note that the conjugate gradient method typically refers to solving systems of linear equations and finding minima of quadratic functions, rather than directly optimizing general functions like f(X, Y). The use of the conjugate gradient algorithm for the given function might require additional context or adjustments to the approach.

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It should be noted that the slope shows that the rate of change in elevation rise at first but later reduced.

The total change in elevation is 10500 feet

It should be noted that from the table, the time and the elevation has been given.

Therefore, the total elevation will be the addition of all the values given. This will be 10500 feet.

Also, the slope shows that the rate of change in elevation rise at first but later reduced.

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Answer:

49km/hr

Step-by-step explanation:

Total dist= 2.27km + 19.33km =21.6km

D=21.6km

T= 26.48mins/60mins×hr=11/25hr

S=D/T

S= 21.6km ÷11/25hr

S= 21.6km×25/11hr=540km÷11hr

S= 49.0km/hr

The length of each side of the square is (2x + 5)² units.

To determine the length of each side of the square, we need to factor the given area expression completely. The area of a square is equal to the square of the length of its side.

Given area expression: 4x² + 20x + 25

To factor this expression, we look for two binomials that multiply together to give the original expression. The first and last terms are perfect squares, which suggests that the expression may be factored as a perfect square binomial.

The perfect square binomial is given by: (a + b)^2 = a² + 2ab + b²

a²= (2x)²= 4x²

b² = (5)² = 25

2ab = 2(2x)(5) = 20x

the factored expression:

4x² + 20x + 25 = (2x + 5)²

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Answer:

ur correct

Step-by-step explanation:

if ∠N and ∠Y are the same then we know the missing angle is 30.°  

30

Step-by-step explanation:

do angle sum property

x + z + y = 180

60 + 90 + y = 180

150 + y = 180

y = 180-150

y = 30

Answer:

1.

Step-by-step explanation:3+3.4+0.5=6.9

6.9x-16 because -26-9=-16 6.9x-16 is the expression. good luck with this equivilant expressions quiz!

Answer:

Hi friend! The answer is D. 10

I hope this helps!

Answer:

B) 10

Step-by-step explanation:

Assign variables to each person:

A=Alina's Age

M=Amy's Age

G=Greg's Age

Set up a system of equations given the information:

A=6+G

M=2.5A

M=40

Notice that M is already given, so we can plug that into the second equation:

40=2.5A

16=A

So Alina is 16 years old, but the problem asks for Greg's age, so we plug Alina's age in the first equation:

16=6+G

10=G

So Greg is 10 years old, therefore B is the correct answer.

1) Since these triangles are congruent, then we can write out the following for congruent triangles have congruent sides:

2) Still based on that principle, we can plug v=2 into any of those formulas to get the measure of QS and TV. So let's pick the simpler one:

As we can see these segments are congruent.

Answer:

I think its A to the third plus 12 to the third power

Answer:

\(T=s^3+12\)

Step-by-step explanation:

The total volume will simply be the sum of each storage space.

We can see that the storage space on the right as a total volume of 12 cubic feet.

The storage space on the left will have a volume of:

\(V=s^3\)

(This is the volume formula for a cube).

Therefore, the total storage space will be:

\(T=s^3+12\)

Our answer is the bottom-right choice.

And we're done!

Answer:

Step-by-step explanation:

18 -> 1,2,3,6,9,18

12 -> 1,2,3,4,6,12

heighest common factor is 6.

It will be nice if you give me brainliest. Good luck!

Answer:

22 gallons of gas

16+6=22

Step-by-step explanation:

can i please have brainliest

Answer:

1712

Step-by-step explanation:

100%-48%=52%

52-48=4

4% more.

42,800*0.04

1712

Answer:

I bilieve that the answer is 22256

Step-by-step explanation:

I took the 48 percent, which isn't a whole number, so it's 0.48, then there is 42,800 in total.

take to total and multiply it by the percent that is male.

0.48*42,800=20,544.

42,800-20,544=22256

I hope that this answer has helped you. Have a good day.

x-intercept(s): (3,0)

y-intercept(s): (0,−9)

Answer:

The x is -3 and the y is -9 so the answer is (-3,-9)

Step-by-step explanation:

6x-2y=18

-6x       -6x

-2y=-6x+18

-2y/-2=-6x/-2+18/-2

y= -3x -9

To graph you just mark it at -9 and go down 3 up 1; or you could go up 3 down 1

Hope this helps :) Have a wonderful day and  wish you luck on your test :)

The gas used by Abby while travelling in her pizza delivery route is 1/4.

As per the given question here we have to implement the basic principles of subtraction along with application of LCM.

The total amount of gas that Abby had in her car = 11/12

After coming to pizzeria the amount of gas left in her tank = 3/4

Here, we have to perform Subtraction to find out the amount of gas used for travelling. Therefore,

= 11/12 - 3/4

performing the LCM, we get

= 11 - 9/12

= 3/12 => 1/4

The gas used by Abby while travelling in her pizza delivery route is 1/4.

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Answer:

this is your answer look it once

Answer: The first 3 options

Step-by-step explanation:

You have to make sure that the given variable would be able to equal -5. The  \(\geq\) sign in the second and third answer show that the variable could be equivalent to -5.

Answer:

g > -7, f ≤ -5 and g ≥ -5

Step-by-step explanation:

the < and > symbols mean less than and greater than respectively, but not including. Therefore -5 cannot be a valid solution if the range is (for example) g > -5. However, ≤ and ≥ mean less/greater than or equal to, so -5 would be a valid solution for g ≥ -5 (for example).

The correct answer is B. Dilating a figure by a scale factor of 1 does not describe a rigid motion transformation.

Rigid motion transforms, also known as isometrics, preserve the character's shape and size.

This means that the transformed shape is the same as the original shape. Rigid motion includes rotation, translation, and reflection.

Rigid Motion transformation preserves character shape and size.

This includes rotation, translation and reflection.

However, dilation changes the size of the shape.

Enlarging a picture by a factor of 1 does not change the size of the picture. This is not a rigid motion transform as the character will not be preserved exactly as it was before the transform.

For expansion with a scale factor of 1, the number is simply multiplied by 1 to get the same number.

The picture remains the same size after being scaled by a scale factor of 1, so no transformation is needed to change the shape or size of the picture.

Therefore, it does not apply to rigid body motion transformations.

In summary, enlarging a figure by a scale factor of 1 is not a rigid body motion transformation because it does not change the size of the figure, making it identical to the original figure.

Option B enlarges the figure by a scale factor of 1, so rigid body motion transformations are not described.

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On solving the equations x+2y = 14 and -x+3y = 26 , by equal value method , we get that the value of y is  8 .

The System Of Equations is given as : x+2y = 14 and -x+3y=26 ;

In the Equal value method , we equate the value of any one variable and simplify further .

in the first equation x+2y = 14 ; the value of x can be written as :

\(x = 14 - 2y\) ; ....equation(1) ;

the second equation , \(-x+3y=26\) , can be expressed as :  

\(x=3y-26\) ;  ....equation(2) ;

equating both equation(1) and equation(2) ,

we get ;

⇒ 14 - 2y = 3y - 26 ;

⇒ 3y + 2y = 26 + 14 ;

⇒ 5y = 40 ;

⇒ y = 8 ;

Therefore , the value of y is = 8 .

The given question is incomplete , the complete question is

How do you solve for y in the system of equations x+2y = 14 and -x+3y=26  by  equal value method ?

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The point of the demonstration was to illustrate that numbers are not always represented in the same way, and can look different when rotated or flipped. It also showed that numbers can look the same, even when they are not in the same orientation.

The demonstration asked the student to examine five different versions of the number 3. Each version was displayed in a different orientation. The point of the demonstration was to illustrate that numbers are not always represented the same way. Each number can look different when rotated or flipped. It also showed that numbers can look the same, even when they are not in the same orientation. This helps to show that numbers have an orientation and can be presented in different ways. It also helps to demonstrate that numbers are not always read from left to right, but can be read from right to left as well.

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The greatest possible value of ab + bc+ cd+da is 576.

A permutation refers to a selection of objects from a set of objects in which order matters. A phone number is an example of a ten number permutation; it is drawn from the set of the integers 0-9, and the order in which they are arranged in matters. Another example of a permutation we encounter in our everyday lives is a passcode or password. To unlock a phone using a passcode, it is necessary to enter the exact combination of letters, numbers, symbols, etc., in an exact order. In cases where the order doesn't matter, we call it a combination instead.

ab+bc+cd+da

= ab + da  + bc + dc

= a(b + d) + c (b + d)

= (a + c) (b + d)

We choose any 2 of the 4 numbers to occupy the first set of parentheses without regard to order. Thus, the second sum is fixed.

⁴C₂ = 6

So, we  can permute the order of the parentheses' sums in two ways.

∴  6 / 2   =   3 different values

No matter the arrangements, the only possible values are

(9 + 11) (13 + 15)  = 360

(9 + 13) (11 + 15) = 572

(9+ 15) (13 + 11) = 576

The largest value out of the three is 576.

Thus, the greatest possible value of ab + bc+ cd+da is 576.

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