Lydia owns. Good truck that sells tacos and burritos. She only has enough supplies to make 115 tacos or burritos. She sells each taco for $4 and each burrito for $6.75. Lydia must sell at least $680 worth of tacos and burritos each day. If tacos were sold, determine the minimum number of burritos that Lydia must sell in order to meet the requirements.

Answer:

(-7, 3)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

Step-by-step explanation:

Step 1: Define

Identify

y - 3 = 4(x + 7)

↓ Compare to Point-Slope Form

Point (-7, 3)

Slope m = 4

Answer:

Step-by-step explanation:

|<--------------  10 --------------------->|

S-------------------T--------------------U

            X-6              2X - 8

FIND: ST

SOLUTION:

ST + TU = SU

x - 6 + 2x - 8 = 10

combine like terms:

3x - x = 10 + 8 + 6

x = 24/3

x = 8

plugin the value of x= 8 into the ST = x - 6

ST = x - 6

ST = 8 - 6

ST = 2

proof:

x - 6 + 2x - 8 = 10

8 - 6 + 2(8) - 8 = 10

10 = 10 ---OK

x + y when x = 6 and y = 2

6 + 2 = 8

\(\frac{9x+24}{4}\) when x = 12 and y = 20

\(\frac{148}{4}\) = 37

\(\frac{6m}{n}\) when m = 12 and n = 3

\(\frac{72}{3}\) = 24

Six times x

6x

Six increased by x

6 + x

The sum of x and y

x + y

The average energy that would be observed after repeated measurements if before each measurement the ball is in a superposition of all three cup states with equal coefficients is  -v/6

The wave function of the bouncy ball can be expressed as a linear combination of the orthonormal cup states (1), (2), and (3) with equal coefficients:

|Ψ⟩ = 1/√3 (|1⟩ + |2⟩ + |3⟩)

Here, |1⟩, |2⟩, and |3⟩ represent the cup states.

In this problem, the Hamiltonian involves bounces between the adjacent cups:

H(1→2) = -12|2⟩⟨2| - v/2(|1⟩⟨1| + |3⟩⟨3|)

H(2→3) = -v/2(|1⟩⟨1| + |3⟩⟨3|) - 12|3⟩⟨3|

Here, H(1→2) represents the energy associated with the ball jumping from cup 1 to cup 2, and H(2→3) represents the energy associated with the ball jumping from cup 2 to cup 3.

The double jump observable with operator D describes the tendency of the bouncy ball to jump two cups at once. The operator D can be expressed in terms of the cup states as:

D = |1⟩⟨3| + |3⟩⟨1|

The average energy is given by the expectation value of the Hamiltonian, which is the sum of the energy associated with each cup state weighted by the probability of finding the ball in that state:

⟨H⟩ = 1/3 (⟨Ψ|H(1→2)|Ψ⟩ + ⟨Ψ|H(2→3)|Ψ⟩ + ⟨Ψ|H(3→2)|Ψ⟩)

We can simplify this expression using the wave function of the bouncy ball and the Hamiltonians:

⟨H⟩ = -v/6

The negative sign means that the ball tends to lose energy over time. This is because the Hamiltonian is always negative, and the average energy is simply the sum of negative numbers divided by 3.

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Answer:

D. it passes through the point (-12)

This is a translation of 2 units to the left and 5 units up, so the correct option is the first one.,

Remember that a vertical translation of N units is:

g(x) = f(x) + N

if N < 0 the translation is down.

if N > 0 the translation is up.

And a horizontal translation of N units is:

g(x) = f(x + N)

If N > 0 the translation is to the right.

if N < 0 the translation is to the left.

Here we have the transformation:

f(x) = x²

g(x) = (x + 2)² + 5

So this is a translation of 2 units to the left and 5 units up.

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Answer:

a)13

b)64

c)26

Step-by-step explanation:

4x+12=6x-14

Divide by 2

2x+6=3x-7

2x-3x=-7-6

-x=-13

x=13

m<1

4x+12

4(13)+12

52+12

64

64+64+y+y=180

divide by 2

64+y=90

y=90-64

y=26

The earthquake in China was 2511.89 times more intense than the one in northern Algeria. Logarithms are used to calculate the difference in intensity between earthquakes on the Richter scale.

To calculate the difference in intensity, use the formula:

Intensity Ratio = 10^((Magnitude2 - Magnitude1)/b)

where Magnitude1 and Magnitude2 are the magnitudes of the earthquakes, and b is a constant value of 1.5 for the Richter scale.

Step 1: Subtract the magnitudes:
7.9 - 4.81 = 3.09

Step 2: Divide by b:
3.09 / 1.5 = 2.06

Step 3: Raise 10 to the power of the result:
10^2.06 ≈ 2511.89

The earthquake in China was 2511.89 times more intense than the one in northern Algeria.

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The value of n that makes the equation (-1/2)*n = -8 true is n = 16. We can find this answer by simple arrangement of equation.

In this equation, we have the product of (-1/2) and n equal to -8. To find the value of n, we can solve for it by dividing both sides of the equation by (-1/2). Dividing -8 by (-1/2) gives us 16. Therefore, the value of n that satisfies the equation is 16.

In summary, the answer is D) 16. By dividing both sides of the equation (-1/2)*n = -8 by (-1/2), we find that n = 16 is the value that makes the equation true.

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The complete question is:

Which value of n makes the equation true? (-1/2)*n = -8

A.) -16

B.) -4

C.) 4

D.) 16        

The marginal product of the 13th worker is 10 units of output.

Given, L represent the number of workers hired by a firm, and Q represent that firm's quantity of output.

Two points on the firm's production function are

(L = 12, Q = 122) and (L = 13, Q = 132).

we have to find the marginal product of the 13th worker,

As, to find the marginal product we find the slope,

so, Marginal Product of 13th Worker = (132 - 122)/(13 - 12)

Marginal Product = 10/1

Marginal Product = 10

So, the marginal product of the 13th worker is 10 units of output.

Hence, the marginal product of the 13th worker is 10 units of output.

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Increasing the sample size for a chi-square test for independence, while holding other factors constant, increases the likelihood of rejecting the null hypothesis because as the sample size increases, the test becomes more sensitive to detecting small deviations from the expected frequencies.

In a chi-square test for independence, the null hypothesis assumes that there is no association between two categorical variables.

The test compares the observed frequencies in a contingency table to the expected frequencies under the assumption of independence. The chi-square test statistic measures the discrepancy between the observed and expected frequencies.

When the sample size is small, the test may not have enough power to detect a significant departure from the null hypothesis, even if such a departure exists in the population.

However, as the sample size increases, the test becomes more capable of detecting smaller deviations from independence, increasing the likelihood of rejecting the null hypothesis when there is a true association between the variables.

Therefore, increasing the sample size can improve the statistical power of the chi-square test and increase the likelihood of rejecting the null hypothesis, assuming other factors remain constant.

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Answer:

X

Step-by-step explanation:

The unit rate for the skydiver falls is 200 feet per second.

The distance that an object travels in relation to the amount of time it takes to do so can be used to define speed. In other words, it is a measurement of an object's motion's speed without direction Velocities are what we get when speed and direction are combined.

Given the graph shows the distance a skydiver falls over time,

and graph titled distance a skydiver falls has time (seconds) on the x-axis, and distance (feet) on the y-axis.

The line passes from (0, 0) and (1.5, 300)

the point (1.5, 300) says that a skydiver covers 300 feet in 1.5 seconds

to find the unit rate we need to calculate the speed,

speed = distance/time

distance covered = 300 feet

time taken = 1.5 seconds

speed = 300/1.5

speed = 200 feet per second

Hence the unit rate is 200 feet per second.

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The critical numbers of the function f(x) = 5x⁴ – x² +1 are 0, 1/√10, and -1/√10. The intervals of increase or decrease are x < -1/√10, -1/√10 < x < 1/√10, and x > 1/√10. The local maximum and local minimum values are f(1/√10) = 4/5√10 + 1 and f(-1/√10) = -4/5√10 + 1 respectively.

Given function f(x) = 5x⁴ – x² + 1(a) Critical Numbers :Critical numbers are the values where the derivative of the function is zero or undefined.

f(x) = 5x⁴ – x² + 1

f'(x) = 20x³ – 2x= 2x(10x² – 1)0 = 2x(10x² – 1)x = 0, or x = ±√(1/10)

Therefore, the critical numbers are 0, 1/√10, and -1/√10.

(b) Increasing and decreasing intervals:

For finding the increasing and decreasing intervals, we need to use the test points. f(x) = 5x⁴ – x² + 1f'(-2) = -72 ( < 0 ).

So, f(x) is decreasing for x < -1/√10.f'(1/2) = 44 ( > 0 )So, f(x) is increasing for -1/√10 < x < 1/√10.f'(2) = 72 ( > 0 )So, f(x) is decreasing for x > 1/√10.(c) Local Maximum and Minimum Values:

For finding the local maximum and minimum values, we need to use the critical numbers.

f(x) = 5x⁴ – x² + 1x = 0, f(0) = 1x = 1/√10, f(1/√10) = 4/5√10 + 1x = -1/√10, f(-1/√10) = -4/5√10 + 1.

Therefore, the function has local maximum at x = 1/√10 and local minimum at x = -1/√10.

To summarize, the critical numbers of the function f(x) = 5x⁴ – x² +1 are 0, 1/√10, and -1/√10.

The intervals of increase or decrease are x < -1/√10, -1/√10 < x < 1/√10, and x > 1/√10.

The local maximum and local minimum values are f(1/√10) = 4/5√10 + 1 and f(-1/√10) = -4/5√10 + 1 respectively.

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Answer:

(X+4)(x-4)

Step-by-step explanation:

x^-16

=(X+4)(x-4)

Answer:

x = 9

Step-by-step explanation:

Make 2 fractions, one for each triangle:

25 / 4x - 1  =   10 / x + 5

Cross multiply the denominator of one x the numerator of the other

25 (x + 5) = 10 (4x - 1)

Use the distributive property

25x + 125 = 40 x - 10

Subtract 25x from each side

125 = 15x - 10

Add 10 to each side

135 = 15x

Divide each side by 15

x = 9

The area of the door is 8 feet x 4 feet = 32 square feet.

So a new door would cost 32 square feet x $5.00 per square foot = 160.00

Answer:

A, B, and D

Step-by-step explanation:

just look at the chart 5Head

Answer:

A,B,E

Step-by-step explanation:

Answer:

Sunlight!

Step-by-step explanation:

Carbon Dioxide + Water + Sunglight > Glucose + Oxygen

Answer:

The answer is water

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

because it a custom made

The length of the radius of the sphere is 9.26 inches.

A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions. In three-dimensional space, a sphere is a collection of points that are all located at the same r-distance from a single point. The radius of the sphere is denoted by the letter r, and the specified point represents its center.

Volume of cube=343 cubic inches

Side of cube=\(\sqrt[3]{343}\) = 7 inches

The radius of the sphere is equal to half the diagonal length of the cube since the cube is inscribed inside the sphere, whose diameter is the cube's diagonal length. Utilizing the distance formula, we can determine the cube's diagonal length.

\(d=\sqrt{7^{2}+7^{2}+7^{2} } \\=\sqrt{7*7^{2} } \\=7\sqrt{7}\)

To determine the radius of the sphere, divide the value by two.

Radius of sphere=\(\frac{7\sqrt{7} }{2}\) = 9.26 inches

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Answer:

1170 miles in 18 hours.

Step-by-step explanation:

Answer:

1170

Step-by-step explanation:

260 ÷4 = 65

65×18=1170

Let's begin by identifying key information given to us:

y = f(x) + k

The k on the function will translate the function up or down.

If k is positive, it will translate up.

If k is negative, it will translate down.

Answer:

NO

jk, jk, it's B

Step-by-step explanation:

A linear programming problem with two decision variables can be solved by a graphical solution method. In this method, the constraints and the objective function of the linear programming problem are graphed on a two-dimensional coordinate plane, and the optimal solution is found at the intersection of the feasible region (the area defined by the constraints) and the level curve of the objective function.

The graphical solution method is a simple and intuitive way to solve linear programming problems with few decision variables, but it becomes impractical as the number of decision variables and constraints increase. In such cases, more complex algorithms, such as the simplex method or interior point methods, are used to find the optimal solution.

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The statement "the standard deviation is equal to the square of the variance" is False.

In statistics, both the standard deviation and the variance are measures of variability or dispersion within a dataset.

However, they are distinct measures and not equal to each other.

The variance (σ²) is the average of the squared deviations from the mean.

It is calculated by summing the squared differences between each data point and the mean, and then dividing by the total number of data points. The variance is expressed in squared units of the original data.

On the other hand, the standard deviation (σ) is the square root of the variance.

It represents the average amount of deviation or dispersion of data points from the mean.

By taking the square root of the variance, the standard deviation is expressed in the same units as the original data, making it more interpretable and easier to compare across different datasets.

In summary, the standard deviation is not equal to the square of the variance. Rather, it is the square root of the variance.

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