hello everyone! Can anybody help me out with this problem? I don't need a big explanation just the answer and a brief explanation on how you got it :)

The answer is 48. Becuase you need to multipluy and also didived the numbers by the quatum number of X.

The two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

To solve the system of equations, let's assign variables to the two integers. Let the first integer be represented by 'x' and the second integer by 'y'.

According to the given information:

a. Fourteen more than twice the first integer gives the second integer:

This can be expressed as: 2x + 14 = y

b. The second integer increased by one is the square of the first integer:

This can be expressed as: y + 1 = x^2

Now, we have a system of equations:

1) 2x + 14 = y

2) y + 1 = x^2

To solve this system, we can substitute the value of 'y' from equation 1) into equation 2):

2x + 14 + 1 = x^2

2x + 15 = x^2

Rearranging the equation, we have:

\(x^2 - 2x - 15 = 0\)

Factoring the quadratic equation, we get:

(x - 5)(x + 3) = 0

Setting each factor equal to zero:

x - 5 = 0   -->   x = 5

x + 3 = 0   -->   x = -3

Substituting the values of 'x' back into equation 1), we can find the corresponding values of 'y':

For x = 5:

2(5) + 14 = y

10 + 14 = y

y = 24

For x = -3:

2(-3) + 14 = y

-6 + 14 = y

y = 8

Therefore, the two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

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The total number of plants is given as follows:

168 plants.

The total number of plants is obtained applying the proportions in the context of this problem.

The variable that represents the total number of plants is given as follows:

n.

The fraction of the number of plants that needed water is given as follows:

3/8.

The fraction 3/8 of n is equivalent to an amount of 63, hence the total amount of plants is obtained as follows:

3n/8 = 63

3n = 63 x 8

n = 21 x 8(simplifying by 3).

n = 168 plants.

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An IV is infusing at 77mcgtt/min. rate of flow equal in mL/h is 77 mL/h

1gtt/min equals 3.00 mL/h

If you simply need to figure out the infusion rate, or the mL per hour to infuse, take the total volume in mL, divided by the total time in hours that the medication is ordered to be infused over, to equal the rate in mL per hour.

1 drop per minute to milliliters per hour = 3.00 mL/h

2 drops per minute to milliliters per hour = 6.00 mL/h

Change hours to minutes. Change milliliters to drops.

1 ml : 60mcgtt

1hr :60min

77mcgtt/min =77*60/60 ml/h

                  =77ml/h

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The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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2 ± √3 is the number that must be added in order to complete the square.

What is factorization?

Writing a number or other mathematical object as the result of numerous factors—typically smaller or simpler objects of the same kind—is known as factorization or factoring in mathematics.

Here, we have

Given: x² + 4x + 1

We have to determine the number that must be added in order to complete the square

= x² + 4x + 1 = 0

= x² + 4x + 4 - 3 = 0

= (x- 2)² - (√3)² = 0

= ((x - 2) - √3)((x - 2) + √3) = 0

=  (x - 2 - √3)(x - 2 + √3) = 0

x = 2 ± √3

Hence, 2 ± √3 is the number that must be added in order to complete the square.

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Answer:

The weight that does not round to 2.46 pounds is C 2.454 pounds.

Step-by-step explanation:

Based on the given information, the weights of the four similar packs of tomatoes are as follows:

Malcolm rounds the weights to the nearest hundredth pound. To round to the nearest hundredth pound, we look at the digit in the hundredths place. If it is 5 or greater, we round up the digit in the tenths place. If it is less than 5, we leave the digit in the tenths place as it is. Therefore, we can obtain the rounded weights as follows:

From the above rounded weights, we see that Pack C rounds to 2.45 pounds and does not round to 2.46 pounds. Therefore, the weight that does not round to 2.46 pounds is C 2.454 pounds.

Answer:

fjhjkddlsfiudjk

Step-by-step explanation:

Based on the cost of the banquet rental, the number of employees coming, and the cost of the Disk Jockey, the entire evening will cost $3,629.70

The total cost of the evening is:
= Banquet rental cost + Entertainment cost + Food per person + Beer and wine per person

Solving gives:

= 1,200 + (100 x (12am - 7pm)) + (29.95 x 46) + (12 x 46)

= 1,200 + 500 + 1,377.70 + 552

= $3,629.70

Rest of the question is:
The caterer is charging $29.95 per person for a sit-down dinner. Beer and wine will be served at a cost of $12.00 per person. The entertainment costs $100.00 an hour, and entertainment will be held from 7:00 p.m. to midnight.

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Answer:

g(x) is greater

Step-by-step explanation:

Answer:

I'm not sure how I can graph the line for you but in the equation, -5 is the y intercept so you should make a point on -5 on the y axis. 2 is the slope in 2x-5 so as a fraction, it would be 2/1. Since the slope is 2/1, the line would rise 2 and run 1.

Step-by-step explanation:

\(\huge\boxed{\bold{Hello\;there!}}\)

First of all, the y-intercept of this line is -5, which means our line crosses the y-axis at (0, -5)

Remember, a y-intercept always has an x-coordinate of 0.

So, we plot a point at (0, -5)

Now, the slope is 2. Which means that we plot the next point after going up 2, over 1. Then, we plot the next point, and so on..

When we are done, the line should look like so:

\(\huge\boxed{\boxed{Hope\;it\;helps!\;}}\)

\(\rm{Have\;a\;nice\;day!}\\\boxed{AmiableTeen}\)

According to the definition of geometric series, there are five terms in the geometric series. (Correct choice: D)

A geometric series is a expression represented by a exponential function of the form:

y = a · rˣ     (1)

Where:

In this question we need to derive how many terms are in the sum of the geometric series described above: (a = - 3, r = 6)

y = - 3 · 6⁰ - 3 · 6¹ - 3 · 6² - 3 · 6³ - 3 · 6⁴

y = - 3 · 1 - 3 · 6 - 3 · 36 - 3 · 216 - 3 · 1,296

y = -4,665

According to the definition of geometric series, there are five terms in the geometric series. (Correct choice: D)

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Answer:

12.7  ==> distance of RS

24.2 ==> distance of RT

Step-by-step explanation:

Distance is always positive. So if you get a negative value, take the absolute value of the negative number:

For example, between point R and S:

-17.2 - (-4.5) =

-17.2 + 4.5 =  ==> subtracting a negative number is equivalent to adding a

                           positive number

-(17.2 - 4.5) = -12.7

-12.7 ==> |-12.7| = 12.7  ==> distance of RS

For RT:

-17.2 - 7 =

-(17.2 + 7) = -24.2

-24.2 ==> |-24.2| = 24.2 ==> distance of RT

Answer:

hello your question is incomplete attached below is the complete question

answer : 2/13    6/13

               6/13    3/13

Step-by-step explanation:

Firstly we will calculate the orthogonal basis L in R^2

attached below is the detailed solution

also assuming β to be the standard ordered basis

hence the matrix A of the reflection in the Line L in R2 =

2/13    6/13

6/13    3/13

The matrix A of the reflection in line L is given by  \(\rm A = \begin{bmatrix}\dfrac{2}{13} & \dfrac{6}{13}\\ \dfrac{6}{13} & \dfrac{3}{13}\end{bmatrix}\)  and this can be determined by first evaluating the value of \(\rm R^2\) by using the given data.

The orthogonal basis L in \(\rm R^2\) is given by:

\(r = [u_1,u_2] =\left[\dfrac{1}{\sqrt{39} }\binom{6}{3}, \dfrac{1}{\sqrt{39} }\binom{3}{-6}\right]\)

\(\rm T(u_1)=u_1\)

\(\rm T(u_2)=0\)

\(\rm [T]_r = \begin{bmatrix}1 & 0\\ 0 & 0\end{bmatrix}\)

\(\rm Q = \dfrac{1}{\sqrt{39} }\begin{bmatrix}6 & 3\\ 3 & -6\end{bmatrix}\)

Now, matrix A is given by the formula:

\(\rm A=Q[T]_rQ^{-1}\)

Now, substitute the value of known terms in the above equation.

\(\rm A = \dfrac{1}{\sqrt{39} }\begin{bmatrix}6 & 3\\ 3 & -6\end{bmatrix}\begin{bmatrix}1 & 0\\ 0 & 0\end{bmatrix}\dfrac{1}{\sqrt{39} }\begin{bmatrix}6 & 3\\ 3 & -6\end{bmatrix}\)

Simplify the above expression.

\(\rm A = \dfrac{1}{{39} }\begin{bmatrix}6 & 18\\ 18 & 9\end{bmatrix}\)

\(\rm A = \dfrac{3}{{39} }\begin{bmatrix}2 & 6\\ 6 & 3\end{bmatrix}\)

\(\rm A = \dfrac{1}{{13} }\begin{bmatrix}2 & 6\\ 6 & 3\end{bmatrix}\)

Multiply by 1/13 in the matrix.

\(\rm A = \begin{bmatrix}\dfrac{2}{13} & \dfrac{6}{13}\\ \dfrac{6}{13} & \dfrac{3}{13}\end{bmatrix}\)

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The third side of the triangle 12.5

A triangle is a polygon with three edges and three vertices. The important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.

we the measurements of given two sides of the triangle 16.5 and 29

In a triangle, the sum of any two sides should be greater than the third side and the difference between any two sides should be lesser than that of the third side.

The sum of two sides rule

\(x + 16.5 > 29\\ x > 29 - 16.5\\ x > 12.5\\\)

The difference between the two sides rule

\(29 - 16.5 < x \\ 12.5 < x\)

Therefore, the value of x is 12.5

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Answer:

We accept with 99 % of confidence that p₁ ( the proportion in the group aged 18 - 34 ) is bigger than p₂ (the proportion in the group aged 35-44)

Step-by-step explanation:

Group aged  18 - 34

Sample size n₁  =  655  sample size enough to apply a normal distribution aproximation for the test

p₁ = 0,45      and   q₁ =  1 - p₁      q₁ = 0,55

p₁*n₁  =  0,45*655 = 294     q₁*n₁  = 0,55*655 = 360

both bigger than 5

p₁  = 45 %     or     p₁  = 0,45          then  q₁  = 1 - 0,45    q₁ = 0,55

Group aged 35 - 44

Sample size  n₂  =  420 sample size enough to apply a normal distribution aproximation for the test

p₂  =  37%   p₂ = 0,37     and    q₂  = 0,63

p₂*n₂  =  0, 37*420 =  155     q₁*n₁  = 0,63*420 = 264

Test Hypothesis

Null Hypothesis        H₀                                             p₁  =  p₂

Alternative Hypothesis Hₐ                                        p₁  >  p₂

Significance level    α  =  1%   α  = 0,01

Confidence Interval     CI = 99 %

Then   from z table  we find   critical z   z (c )  = 3,1

Calculating   z(s)

z(s)  =  (  p₁ - p₂ )/ √[ ( p₁*q₁)/n₁ ] + [ (p₂*q₂)/n₂ ]

z(s ) = (0,45 - 0,37 ) /  √ 0,45*0,55)/655  +  0,37*0,63 /420

z(s)  = 0,08  /0,03

z(s) = 2,66

Comparing  z(s)  and z(c)

z(s) < z(c)

Then z (s) is inside the acceptance region for H₀

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height.The volume is expressed in cubic units.

HOPE IT HELP!

Tamika can expect a monthly payment of approximately $374.61.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

To calculate the monthly payment amount, we need to use the formula for calculating the monthly payment on a loan:

\(M = P * (r(1+r)^n) / ((1+r)^{n - 1\)

where:

M = monthly payment

P = loan principal (the amount borrowed)

r = interest rate (as a decimal)

n = number of payments (in months)

First, we need to calculate the loan principal, which is the MSRP minus the cash back incentive:

P = $14,999 - $2500 = $12,499

Next, we need to convert the annual interest rate to a monthly rate:

r = 5% / 12 = 0.00417

Finally, we can plug in the values for P, r, and n (36 months for three years) to calculate the monthly payment:

M = \($12,499 * (0.00417(1+0.00417)^{36}) / ((1+0.00417)^{36 - 1)\)

M ≈ $374.61

Therefore, Tamika can expect a monthly payment of approximately $374.61.

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Answer:

the unit cost of each lemon is $0.60

Step-by-step explanation:

divide 3.00 by 5 to get 0.6

The expression for the quadratic function can be written as:

g(x + a) - g(x) = 4ax + 2a² - 4a

Here we want to find the expression:

g(x + a) - g(x)

For the quadratic function:

g(x) = 2x² - 4x

So just let's evaluate the function in these values, we will get:

g(x + a) =2*(x + a)² - 4*(x + a)

Expanding that we will get:

            = 2(x² + 2ax + a²) - 4x - 4a

            = 2x² + 4ax + 2a² - 4x - 4a

Subtracting the original equation we will get:

g(x + a) - g(x) = 2x² + 4ax + 2a² - 4x - 4a - 2x² - 4x

                     = 4ax + 2a² - 4a

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Answer:

\(y = -7\)

\(y = 3\)

\(y = 13\)

\(y = 53\)

The equation of the line perpendicular to 7x+5y = 4 is y = 5/7(x) -15/7. The equation of the line parallel to 7x+5y = 4 is  y = -7/5(x) -53/5

Given that: the line is perpendicular/parallel to the line 7x+5y = 4 and it passes through (−4,-5)

The slope-intercept form of a straight line is:

y = mx + c

where m is the slope and c is the y-intercept

For perpendicular case:

When the two lines are perpendicular, the product of their slope is -1 i.e.

m₁ x m₂ = -1

where m₁ and m₂ represent the slope of the lines

Let the slope of the given line be m₁ and the slope of the unknown line be m₂

Line1(given):

7x+5y = 4  => y = (-7/5)x + 4/5

Thus,  m₁ = -7/5

m₁ x m₂ = -1

-7/5 x m₂ = -1

m₂= 5/7

Line 2(unknown) with the point (−4,-5):

y = mx + c

-5 = 5/7 (-4) + c

-5 = -20/7 + c

c = -15/7

Thus, the equation of the line is y = 5/7(x) -15/7

For parallel case:

When the two lines are parallel, they have equal slope i.e. m₁ = m₂

Line1(given):

7x+5y = 4  => y = (-7/5)x + 4/5

Thus,  m₁ = -7/5

m₂= -7/5

Line 2(unknown) with the point (−4,-5):

y = mx + c

-5 = -7/5(-4) + c

-5 = 28/5 + c

c = -53/5

Thus, equation of the line is y = -7/5(x) -53/5

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The total area from the graph is 2.737.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

First of all, lets calculate the points of intersection (P, Q, R)

x²+3=(x+2) +5

x²-2=√(x+2)

x⁴+4-4x²=x+2

x⁴-4x²-x+2=0

(x-2)(x³+2x²-1)=0

(x-2)(x+1)(x²+x-1)=0

x=2, -1, -1±√(1+4)/2

Clearly, the x-coordinate of Q is -1, P is -1-√5/2, R is -1+√5/2, S is 2

So the limit of integration will be

P( (-1-√5)/2, (-1-√5/2)² +3)=P((-1-√5)/2, (3+√5/2))

Q(-1, (-1)²+3)=Q(-1, 4)

Area A:

\(\int\limits^\frac{3+\sqrt{5} }{2} _4 {-\sqrt{-y-3}-((y-5)^2 -2)} \, dx\)

= \([\frac{-(y-3)^\frac{3}{2} }{\frac{3}{2} }-\frac{(y-5)^3}{3}+3y]^{\frac{3+\sqrt{5} }{2} }_4\)

= 2.07

Area B:

\(\int\limits^\frac{-1+\sqrt{5} }{2} _4 {-\sqrt{x+2}+5-(x^2+3)} \, dx\)

= \([\frac{-(x+2)^\frac{3}{2} }{\frac{3}{2} }+5x-\frac{x^3}{3}-3x]^{\frac{-1+\sqrt{5} }{2} }_{-1}\)

= 0.667

Total area = 2.07+0.667

= 2.737

Therefore, the total area from the graph is 2.737.

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True.

When you break it down, it's 0.45 compared to 0.50, so 0.5 is greater than 0.45 by 0.05. Also, 0.5 is closer to 0.

The value of the discriminant for the quadratic equation –3 = –x2 + 2x is  16

The quadratic equation is given as:

–3 = –x^2 + 2x

Rewrite the equation as:

x^2 - 2x - 3 = 0

A quadratic equation is represented as;

ax^2 + bx + c = 0

So, we have

a = 1

b = -2

c = -3

The discriminant is

d = b^2 - 4ac

So, we have

d = (-2)^2 - 4 * 1 * -3

Evaluate

d = 16

Hence, the value of the discriminant for the quadratic equation –3 = –x2 + 2x is  16

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Answer:

16

Step-by-step explanation:

Answer:

89 she drive to work befor she has to fill

Answer:

4 round tripes

Step-by-step explanation:

First, subtract the miles she has already driven

125 - 5 = 120

Then divide the difference of the miles she has already driven

120 ÷ 30 = 4