Giselle has $16.25 in her wallet and needs to get to her uncle’s house 8 miles away.
A taxi costs $2.50 for the first mile and $1.75 for each additional mile.

Answer:

2 hours

Step-by-step explanation:

Y=25x+30

80=25x+30

50=25x

2=x

The absolute maximum value of a the function values obtained from steps 3 and 4.

To find the absolute maximum value of a function, you can follow these general steps:

1. Identify the domain: Determine the set of input values for which the function is defined.

2. Find critical points: Critical points occur where the derivative of the function is either zero or undefined. To find critical points, take the derivative of the function and solve for points where the derivative is zero or undefined.

3. Evaluate the function at the critical points: Plug the critical points into the original function and calculate the corresponding function values.

4. Check the endpoints of the domain: If the domain of the function is a closed interval, evaluate the function at the endpoints as well.

5. Compare the function values: Compare all the function values obtained from steps 3 and 4. The largest value represents the absolute maximum, and the smallest value represents the absolute minimum.

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The equation that could represent a linear combination of the system is 0= -78. Therefore, option B is the correct answer.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2/3x + 5/2y = 15

4x + 15y = 12

Multiply the first equation by 6, to eliminate the fractions.

6×(2/3x+5/2y=15)

4x+15y=90

Subtract the equation 4x+15y=90 from 4x+15y=12

4x-4x+15y-15y=12-90

0+0= -78

0= -78

The equation that could represent a linear combination of the system is 0= -78. Therefore, option B is the correct answer.

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The system of equations below has no solution.

2/3x + 5/2y = 15

4x + 15y = 12

Which equation could represent a linear combination of the system?

A) 4/3x=42

B) 0=-78

C) 15/2y=33

D) 0=0

Answer:

Have a Nice Best Day : )

Answer:

16 pts

Step-by-step explanation:

1qt = 2pts

Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

Time taken by Matilda on each project is \(5\frac{7}{12}\) hours.

According to the question we have been given that,

Total time taken by Matilda to complete the consulting projects = \(16\frac{3}{4}\) hours

First we will convert it into simple fraction which is

         \(16\frac{3}{4} = \frac{67}{4} \\\) hours

Number of consulting projects = 3

And Matilda spends same amount of time to each of the project.

To find the time she spend on each project is by using unitary method

that is,            3 projects = \(\frac{67}{4}\) hours

                      1 project = \(\frac{67}{4} / 3\)

                                     = 67/12

                                     = \(5\frac{7}{12}\) hours

Hence time taken by Matilda on each project is \(5\frac{7}{12}\) hours.

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Answer:

x=9

Step-by-step explanation:

When a line segment, BD bisects an angle, this means the 2 smaller angles created are equal.

We can write an equation:

3x-7=20

add 7 to both sides

3x=27

divide both sides by 3

x=9

So, x=9.

Hope this helps! :)

Answer:

4x^2 B

-4x^2 A

1/4x^2 D

-1/4x^2 C

Step-by-step explanation:

1. Look at the concavity

    up or down = negative or positive.

2. number before the x value

if N < 1, it will be wider.     if N > 1, it will be thinner.

3. the two most right graphs would be -1/4x^2 and 1/4x^2

the one that is concave down is the - and the concave up is +

Answer: D. 10 5/6

Step-by-step explanation: K12 UNIT TEST

The steps for solving the expression 8 x 3 (4213) + 52 + 4 x 3 in the correct order are 16, 384, 12, 436, 448.

To solve the expression 8 x 3 (4213) + 52 + 4 x 3 using the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), the steps should be performed in the following order:

Start by simplifying the expression within the parentheses: 4213 = 16.

Expression becomes: 8 x 3 x 16 + 52 + 4 x 3

Perform the multiplication operations from left to right:

8 x 3 x 16 = 384

Expression becomes: 384 + 52 + 4 x 3

Continue with any remaining multiplication operations:

4 x 3 = 12

Expression becomes: 384 + 52 + 12

Perform the addition operations from left to right:

384 + 52 = 436

Expression becomes: 436 + 12

Finally, perform the remaining addition operation:

436 + 12 = 448

Therefore, the steps for solving the expression 8 x 3 (4213) + 52 + 4 x 3 in the correct order are:

16, 384, 12, 436, 448.

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Answer: 12

Step-by-step explanation: 13*3=39

39-3=36

36/3=12✅

Simple variance analysis compares actual costs with standard costs, while flexible variance analysis incorporates actual activity or output into budget calculations.

Simple Variance Analysis: Determine the standard or budgeted cost for each component of the project or process. Measure and record the actual cost incurred for each component. Calculate the variance by subtracting the actual cost from the standard cost for each component. Analyze the variances to identify the reasons for deviations between the actual and standard costs. Investigate the causes of significant variances and take appropriate corrective actions if necessary.

Flexible Variance Analysis: Determine the flexible budget based on the actual output or level of activity. Calculate the flexible budget variance by subtracting the flexible budget amount from the actual cost or revenue. Calculate the price variance by comparing the actual price per unit with the budgeted price per unit and multiplying it by the actual quantity. Calculate the efficiency variance by comparing the actual quantity with the budgeted quantity and multiplying it by the budgeted price per unit. Analyze the variances to understand the reasons for deviations from the flexible budget. Investigate the causes of significant variances and take appropriate corrective actions if necessary.

Both simple variance analysis and flexible variance analysis are used to compare actual performance against standard or budgeted performance and identify the reasons for deviations. Simple variance analysis focuses on comparing actual costs with standard costs, while flexible variance analysis incorporates the actual level of activity or output into the budget calculations.

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Answer: x+y+1=0

Step-by-step explanation:

m=y2-y1/x2-x1

 = 4-(-2) /-5-1

 =6/-6

 =-1

equation of line

y-y1=m(x-x1)

y-(-2) =-1(x-1)

y+2=-x+1

x-1+y+2=0

x+y+11=0

The process to show the vector field V(x,y,z) as conservative is show  below and the scalar potential f is \(f(x,y,z) =xyz^{2} + e^{\pi }\)   .

A Vector field can be called as conservative if we are able to find the potential function "f" , whose gradient is field .

The Gradient is vector that is made from partial derivatives of potential function .

The Vector function is given as , V(x,y,z) = \((yz^{2} )i + (xz^{2} )j + (2xyz)k\) ,

So , we can write the partial derivatives function of potential function as :

\(\frac{\partial f}{\partial x} = yz^{2}\) ; \(\frac{\partial f}{\partial y} = xz^{2}\) ; \(\frac{\partial f}{\partial z} = 2xyz\),

On Antidifferentiating any of the above three partial derivatives ,

we get ; \(f=xyz^{2} + C\) , here the constant C can take any value ,

so , we take C as \(e^{\pi }\) .

Therefore , the potential Function is \(f(x,y,z) =xyz^{2} + e^{\pi }\) .

The given question is incomplete , the complete question is

Show that the vector field defined by the vector function V(x,y,z) = (yz²)i + (xz²)j + (2xyz)k is conservative by finding a scalar potential f .

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The probability that the cards left are all spades when drawing cards at random and without replacement until only cards of one suit are left is given by P(all spades) = 13! / 52!.

To find the probability that the cards left are all spades when drawing cards at random and without replacement until only cards of one suit are left, we need to consider the number of spades in the deck and the total number of possible outcomes. In a standard deck of 52 cards, there are 13 spades (assuming we're considering a deck with the usual 4 suits). When we start drawing cards, the number of spades in the deck will decrease with each draw.

The total number of possible outcomes is the number of ways we can arrange the 52 cards in different orders. This can be calculated using the concept of permutations. The total number of possible outcomes is denoted by 52! To calculate the probability, we need to determine the number of favorable outcomes (where all the cards left are spades) and divide it by the total number of possible outcomes.

Since there are 13 spades in the deck, and we continue drawing cards until only cards of one suit are left, the number of favorable outcomes is the number of ways to arrange these 13 spades among themselves. This can be calculated as 13!. Therefore, the probability that the cards left are all spades is given by:

P(all spades) = favorable outcomes / total outcomes

= 13! / 52!

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The present temperature of the cosmic neutrino-antineutrino background is estimated to be below 1 K. This temperature is significantly lower than the observed temperature of the cosmic photon background, which is approximately 3 K.

The cosmic neutrino-antineutrino background is a remnant of the early universe and consists of neutrinos and antineutrinos that were produced during the Big Bang. These particles have very low masses and interact weakly with matter, making them difficult to detect directly. The temperature of the cosmic neutrino-antineutrino background is related to the expansion of the universe. As the universe expands, the temperature of all forms of background radiation decreases. Since neutrinos have very low masses, they cool down more rapidly than photons (particles of light) and therefore have a lower temperature. Current estimates suggest that the present temperature of the cosmic neutrino-antineutrino background is below 1 K, making it even colder than the observed temperature of the cosmic photon background.

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Answer:

c + d = 180 (property of 2 angles on a line), we can say that d = 180 - c

a + b + c = 180 (property of a triangle), we can say that a + b = 180 - c

therefore a + b = d

Step-by-step explanation:

Answer: 15.2

Step-by-step explanation:

(14)^2 + (6)^2 = c^2

196 + 36 = c^2

232 = c^2

Square root both sides

15.231546 = c

15.2 ≈ c

The distance of the straight line from the starting  point by the is  is 15.2 miles.

The distance between a point and a line is the shortest distance between them.

It states that if a triangle is right-angled (90 degrees), then the square of hypotenuse is equals to the  sum of the squares of the other two sides.

If ΔOAB is a right angled triangle, right angle at A

then the Pythagoras equation will be

\(OB^{2} =AB^{2} +OA^{2}\)      

(where OB, OA and AB are the length of the sides of triangle OAB)

According to the question

We have to find ,the distance of straight line from the starting point.

From, the provided figure we can conclude that OB is the straight line whose distance to be find

In ΔOAB, we have

\(OB^{2} =OA^{2} +AB^{2}\)                              (By Pythagoras theorem)

\(OB^{2} =14^{2} +6^{2}\)

\(OB^{2} =196+36\)

\(OB=\sqrt{232} \\OB= 15.23 miles\)

\(OB=15.2 miles\)

Hence, the distance of straight line from the starting point is 15.2 miles.

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the answer i got was 18.12

Answer:

6+7√3  or  18.12

Step-by-step explanation:

7√3+2√9= 7√3+2*3= 6+7√3

6+7√3= 18.12

Answer:

24 meters

Step-by-step explanation:

8*3=24

In the attached diagram the perimeter of the hall way is

The perimeter of the hall way is calculated by adding all the sides of the hallway

The perimeter of the hall way  = 2x - 7 + x + 1 + 4x - 9 + x - 2 + x + 2 + 3x - 11 + x - 2 + 3x - 11 + x + 4

adding like terms results to

The perimeter of the hall way  =  17x + (-34)

Finally, the simplified expression is:

17x - 34

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Answer:

\(AC = 20\)

Step-by-step explanation:

Given

\(AC = 2x + 8\)

\(AB = 4x - 16\)

\(BC = 3x - 6\)

Required

Find AC

First, we need to solve for x

Since B is between A and C, then

\(AC = AB + BC\)

Substitute values for AC, AB and BC

\(2x + 8 = 4x - 16 + 3x - 6\)

Collect Like Terms

\(2x - 4x - 3x = -16 - 6 - 8\)

\(-5x = -30\)

Divide through by -5

\(\frac{-5x}{-5} = \frac{-30}{-5}\)

\(x = \frac{-30}{-5}\)

\(x = 6\)

Substitute 6 for x in \(AC = 2x + 8\)

\(AC= 2 * 6 + 8\)

\(AC= 12 + 8\)

\(AC = 20\)

Answer:

x=3

Step-by-step explanation:

the steps are on the picture

Answer:

\(x=3\)

Step-by-step explanation:

\(4x-5x+9=5x-9\)

\(\mathrm{Combine\:like\:terms:}\:4x-5x=-x\)

\(-x+9=5x-9\)

\(\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\)

\(-x+9-9=5x-9-9\)

\(=-x=5x-18\)

\(\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}\)

\(-x-5x=5x-18-5x\)

\(=-6x=-18\)

\(\mathrm{Divide\:both\:sides\:by\:}-6\)

\(\frac{-6x}{-6}=\frac{-18}{-6}\)

\(x=3\)

Answer:

x=1/10

Y=5

Step-by-step explanation:

1/4x+2.5 =1/5x+ 3

x=1/10

Y=1/4×1/10+2.5

Y=5

×=1/10

Y=5

Answer:

Step-by-step explanation:

Based on the sum of their ages, Mark's brother is 14 years old.

Let us assume the age of Mark be x. Now forming the equation based on mentioned information.

Mark's age = x

Mark's brother's age = x + 5

x + x + 5 = 23

Performing addition on Left Hand Side of the equation

2x + 5 = 23

Shifting 5 to Right Hand Side of the equation

2x = 23 - 5

Performing subtraction on Right Hand Side of the equation

2x = 18

Shifting 2 to Right Hand Side of the equation

x = 18a1 ÷ 2

Performing division on Right Hand Side of the equation

x = 9

So, Mark's age = 9

Mark's brother's age = 9 + 5

Mark's brother's age = 14

Hence, Mark's brother's age is 14 years.

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Answer:

the hot-holding temperature threshold is 135 degrees Fahrenheit

Step-by-step explanation:

the hot-holding temperature threshold is 135 degrees Fahrenheit

The correct option is D. 135°F (57°C)

We know that,

Bacteria grow most rapidly in the range of temperatures between 40 °F and 140 °F, doubling in number in as little as 20 minutes.

This range of temperatures is often called the “Danger Zone”. Never leave food out of refrigeration over 2 hours.

As Per food safety regulations, the hot-holding temperature threshold is 135 degrees Fahrenheit. Hot foods can be at or above this temperature to be safe for consumption.

If a heated food falls below this threshold, it is considered a danger zone temperature.

Hence the minimum hot-holding temperature requirement for pizza is 135°F (57°C).

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