Emma and Cooper went to Tico’s tacos for lunch. Emma ordered three tacos and one burrito and Cooper ordered one taco and two burritos Emmas order total was $3.65 and Cooper’s bill was $3.30. Write and solve a system of equations to model the situation above. Explain the solution in the context of this problem. Explain, or show your work in the box below.

Answer:79

Step-by-step explanation:

x+(x+2)+(x+4)=231

3x+6=231

3x=225

x=75

75+4=79

Answer: B and C only

Step-by-step explanation:

The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and rises 4 degrees

Initial temperature = 0

Temperature rise = 4

Fall in temperature = - 4

(Initial temperature + rise in temperature + fall in temperature)

Summing all : (0 + 4 - 4) = 0

carbon atom has 6 negatively charged electrons and 6 positively charged protons.

Net charge of atom :

(number of proton + number of electrons)

( 6 + (-6)) = 0

Answer:

\(CA = 2.97516879\)

\(AB = 6.786871837\)

Step-by-step explanation:

\( \tan(B) = \frac{opposite}{adjacent} \)

\( \tan(26) = \frac{CA}{6.1} \)

\((6.1) \tan(26) = \frac{CA}{6.1} (6.1)\)

\((6.1) \tan(26) = CA\)

\(2.97516879 = CA\)

\(CA = 2.97516879\)

\(CA \approx3\)

\( \cos(B) = \frac{adjacent}{hypotenuse} \)

\( \cos(26) = \frac{6.1}{AB} \)

\((AB) \cos(26) = \frac{6.1}{AB} (AB)\)

\((AB) \cos(26) = 6.1\)

\( \frac{(AB) \cos(26) }{ \cos(26) } = \frac{6.1}{ \cos(26) } \)

\(AB = \frac{6.1}{ \cos(26) } \)

\(AB = 6.786871837\)

\(AB \approx6.8\)

The height equal to the given rectangle couldn't be found due to the reason of more information is needed. Therefore the required answer for the question is Option D.

So, the Probability density function is portrayed graphically as a rectangle where   (b-a) is the base and 1/(b-a)  is the required height.

Probability density function refers to the method that helps to define the random variable's probability within a distinct range of values as opposed to taking one value.

then,

the height of the rectangle for a uniform probability distribution should be 1/(b-a)

The height equal to the given rectangle couldn't be found due to the reason of more information is needed. Thus the correct answer is Option D.  

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Answer:

She needs to order 12 cars

Step-by-step explanation:

To find the total number of models, we just need to multiply the number of options for each choice:

body style: 2 options

interior package: 3 options

drive train: 2 options

So the number of different models is:

2 * 3 * 2 = 12 different models

So in order to have all the possible models, she needs to order 12 cars.

Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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The quality control manager at Sony uses systematic sampling to estimate the percentage of defects in a manufacturing batch of music CDs. Therefore, the quality control manager can estimate that approximately 20% of the entire manufacturing batch of music CDs may have defects based on the systematic sample she obtained.

Systematic sampling involves selecting items from a population at regular intervals. In this case, the quality control manager selects every 16th music CD starting from the ninth. This method ensures that every CD has an equal chance of being selected, providing a representative sample of the batch.

By using systematic sampling, the quality control manager obtains a sample of 140 music CDs. She can then examine these CDs to determine the number of defective ones. Let's assume she finds 28 defective CDs in the sample.

To estimate the percentage of defects in the manufacturing batch, the quality control manager can use the formula:

Defect percentage = (Number of defective CDs / Sample size) *100

Substituting the values, we have \((\frac{28}{140}) * 100 = 20%\).

Therefore, the quality control manager can estimate that approximately 20% of the entire manufacturing batch of music CDs may have defects based on the systematic sample she obtained. This estimation provides valuable information for assessing the quality of the batch and taking necessary actions for improvement.

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the derivative of √x with respect to x is d√x/dx = (x⁽ ⁻ ¹/²⁾) / 2.

To differentiate √x with respect to x, we can use the power rule for derivatives.

Let's express √x as x¹/²:

√x = x¹/²

Now, let's find the derivative of x¹/² with respect to x:

d/dx (x¹/²) = (1/2) * x⁽¹/² ⁻ ¹⁾

Simplifying the exponent:

d/dx (x¹/²) = (1/2) * x⁽ ⁻ ¹/²⁾

Since x⁽ ⁻ ¹/²⁾ represents 1/√(x), we can rewrite the derivative as:

d/dx (√x) = (1/2) * 1/√x

          = 1/(2√x)

          = (1/2√x)

          = (x⁽ ⁻ ¹/²⁾) / 2

Therefore, the derivative of function y = √x with respect to x is d√x/dx = (x⁽ ⁻ ¹/²⁾) / 2.

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Complete question is below

use negative exponent in your answer with fractions, no decimals; d√x/dx =

The amount of each quarterly payment, rounded, for a $30,000 loan with a 6% annual interest rate to be paid off in 10 equal quarterly payments is $2,803 (option B).


To calculate the amount of each quarterly payment, we need to use the formula for calculating the equal payments on an installment loan. In this case, the loan amount is $30,000, the annual interest rate is 6%, and the loan term is 10 quarters.

Using the formula, we can determine that the amount of each quarterly payment is approximately $2,803. This amount is rounded to the nearest whole number, as specified in the question. Therefore, option B, $2,803, is the correct answer. The other options (A, C, and D) are not applicable to the calculation based on the given information.

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Answer:

have you missed out any option cause i doeant match with any of your options

Answer:

6/8 and 1/8, 7/8 and 2/8, 9/8 and 4/8. There are infinite answers.

Step-by-step explanation:

To get the pairs of fractions, you just need to put a any number in a fraction over 8, and then subtract the fraction 5/8 from that fraction. There is an infinite number of pairs, because you can do this for every number and there are infinite numbers.

Answer: Complementary: x= 5

Step-by-step explanation:

First we know that the angles are complementary because they add to 90 degrees.

Next to find 5x we can subtract 65 from 90: 90-65=25

Solve: 5x=25

x=5

\(\huge \bf༆ Answer ༄\)

At first Divide the figure into two rectangles, I and Il

Area of figure l is ~

Area of figure ll is ~

Area of whole figure = Area ( l + ll )

that is equal to ~

Answer:

The angle is 53.13 degrees

Step-by-step explanation:

In this question, we are to calculate the angle to which a ladder is to be set to get to a window.

Now, looking at this, we can picture a triangle where the length of the ladder represents the the hypotenuse while the angle we are considering makes the height of the room from the floor.

Please check attachment for picture of triangle

Since we are considering the hypotenuse and the opposite, the mathematical term we would be using is the sine.

Sine of an angle = length of opposite/length of hypotenuse

Sine angle = 8/10

since angle = 8/10

angle = arc sin 0.8

angle = 53.13 degrees

Answer: 185.7 miles

Step-by-step explanation:

To find the total distance, add the smaller distances together.

47.8 + 72 + 65.9 = 185.7

The required inequality describes the problem is  x ≤ 12.

A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality in mathematics. On the number line, it is most frequently used to compare the sizes of two numbers.

The term "inequality" in mathematics refers to a relationship between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus.

We have,

Edna's phone is fully charged, it can operate for up to 18 hours before running out of battery.

let x represent how many more hours edna's phone can operate without running out of battery.

Then

x + 6 ≤ 18

x ≤ 12

Thus,required inequality is x ≤ 12.

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Answer:

x= -2 and x=-1

Answer:

I feel like its that but im rlly not sure.

Step-by-step explanation:

Leanne's list is incorrect and  there are 3 different sides a person can choose. So, there are a total of 6 possible ways a person could choose their dinner.

The given parameters are:

Main Dish: B, C and P

Sides: A and F

Using the above parameters, the combination of dishes are:

BA, BF, CA, CF, PA and PF

Hence, we can conclude that Leanne list is incorrect

Also, we have:

Dish = 3

Sides = 2

So, the number of dinner to choose is:

Dinner = 3 * 2 = 6

Hence, a person could choose their dinner in 6 ways

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Answer:

8 units

Step-by-step explanation:

distance= sqrt((x2-x1)^2+(y2-y1)^2))

sqrt((5-(-3))^2+(4-4)^2))

sqrt(5+3)^2+(4-4)^2)

sqrt(8^2+(4-4)^2)

sqrt(64+(4-4)^2)

sqrt(64+0^2)

sqrt(64+0)

sqrt(64)

sqrt(8^2)

8

Answer: Line AB

Hope this helps

This function is a piecewise function that returns 1 if the input value, x, falls within the interval [a, b], and 0 otherwise.

The function given is written as:

f(x) =

1, if a ≤ x ≤ b

0, otherwise

This function is a piecewise function that returns 1 if the input value, x, falls within the interval [a, b], and 0 otherwise. The values 'a' and 'b' represent the lower and upper bounds of the interval, respectively.

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P (X)= \(x^3+4 x^2-3x+2\)  moreover, \(\frac{P(x)}{x - 1} = x^{2} + 5x +2\) as a result, the actual claim is  \($p(x)=(x-1)\left(x^2+5 x+2\right)+\frac{4}{x-1}$\)

The likelihood of an event occurring is determined by probability:       P(A) = f / N. Probability and odds are related, but probability is necessary for odds to exist. Prior to calculating the likelihood that an event will occur, probability is required.

The steps listed below can be used to determine an event's likelihood: Step 1: Identify an event that has only one outcome. Step 2: Compile a list of all potential outcomes, including any positive ones. Step 3: Subtract the number of favourable outcomes from the total number of outcomes that are feasible. The probability of A or B is equal to p(A or B) = p(A) + p(B) if occurrences A and B are mutually exclusive (B). A probability is a number that expresses the possibility or likelihood that a specific event will take place.

Therefore the correct answer is option A ) \($p(x)=(x-1)\left(x^2+5 x+2\right)+\frac{4}{x-1}$\)

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Answer:

A.True