A teacher has a 2 -gallon ( 32 -cup) container of juice. She gives each student 12 cup of juice.

Which equation represents the amount of juice that remains, y , after x students are served?

Responses

y=32x−12
y is equal to 32 x minus 1 half

y=12x−32
y is equal to 1 half x minus 32

y=−12x+32
y is equal to negative 1 half x plus 32

y=−32x+12

If the government was to impose a minimum wage of $12 then the number of unemployed workers would be 4,000.

If the government was to impose a minimum wage of $12 then a situation would arise where the demand for workers is 8,000 yet the supply for workers is 12,000.

This would lead to an unemployment rate of:

= 12,000 - 8,000

= 4,000 people

Find out more on minimum wage at https://brainly.com/question/1461885

#SPJ4

Answer:

something

Step-by-step explanation:

I JUST NEED POINTS TO ASK QUESTIONS

$136

Step-by-step explanation:

$255÷15hrs=$17

$17×8hrs=$136

The number of hours is an illustration of a unit rates

Jack earns $120, when he works for 8 hours.

Represent the unit rate with h.

So, his last week earning is represented as:

\(\mathbf{15h = 225}\)

Divide both sides by 15, to calculate the unit rate

\(\mathbf{h = 15}\)

When he works for 8 hours, his earnings is:

\(\mathbf{Earnings = 8h}\)

So, we have:

\(\mathbf{Earnings = 8 \times 15}\)

\(\mathbf{Earnings = 120}\)

Hence, Jack earns $120, when he works for 8 hours.

Read more about unit rates at:

https://brainly.com/question/18065083

As a result of answering the given question, we may state that If we can demonstrate that angle GTS is congruent to triangle RTS, we can deduce that RT is tangent to the circle.

A triangle is a closed, two-dimensional geometric object composed of three line segments, known as sides, that intersect at three locations, known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all sides equal), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles less than 90 degrees), right (one angle equal to 90 degrees), or obtuse (all angles greater than 90 degrees). The area of a triangle can be computed using the formula A = (1/2)bh, where A is the area, b is the triangle's base, and h is the triangle's height.  

Triangle GTR is a right triangle whose vertex R has a right angle. The radius of the circle is one side of the triangle, and it is perpendicular to side TR at point S.

If side RT is tangent to the circle, the angle formed by side RT and radius RS is 90 degrees (since a tangent to a circle is always perpendicular to the radius at the point of tangency). Angle GTS is a right angle in this situation because it is produced by the radius GS and the tangent ST. If we can demonstrate that angle GTS is congruent to angle RTS, we can deduce that RT is tangent to the circle.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

Answer:

$382.5

Step-by-step explanation:

450x$0.85 is $382.5

Step-by-step explanation:

stay safe healthy and happy.

a. To calculate the solid angle subtended by the thunderstorm cloud, we can use the formula for the solid angle of a cone-like region given by: Solid Angle = ∫∫ sin(θ) dθ dφ.

In this case, the limits of integration are π/6 < θ < π/2 and 0 < φ < π/8. ∫∫ sin(θ) dθ dφ = ∫(π/8 to π/2) ∫(0 to π/8) sin(θ) dθ dφ. Evaluating this integral will give us the solid angle subtended by the thunderstorm cloud. b. To determine the percentage of the sky occupied by the thunderstorm cloud, we need to calculate the ratio of the solid angle subtended by the cloud to the total solid angle of a full sphere (4π steradians), and then multiply by 100. Percentage of Sky Occupied = (Solid Angle / 4π) * 100.

By substituting the value of the solid angle obtained in part (a) into this formula, we can determine the percentage of the sky occupied by the thunderstorm cloud. Please note that without specific numerical values for the limits of integration, it is not possible to provide a numerical answer in this case.

To learn more about solid angle click here: brainly.com/question/29113767

#SPJ11

Answer:

4x² - x - 1

Step-by-step explanation:

(f - g)(x) = f(x) - g(x) , thus

f(x) - g(x)

= 4x² - (x + 1) ← distribute parenthesis by - 1

= 4x² - x - 1

Answer:

12

Step-by-step explanation:

5^2 + b^2 = 13^2

25 + b^2 = 169

169-25= 144

take the square root of 144

answer: 12

Answer:

The probability of rolling an odd number or a two on a six-sided die is 1/2 + 1/6 = 2/3. This means that if you roll a six-sided die 300 times, you can expect to roll an odd number or a two approximately 200 times

Step-by-step explanation:

Answer: 400 TIMES

Step-by-step explanation:

1/6 +1/2

4/6

2/3

9514 1404 393

Answer:

  at most 63

Step-by-step explanation:

The inequality Jody can use to determine the number of sheets (s) of paper she can buy will be ...

  18.25 + 0.34s ≤ 40

  0.34s ≤ 21.75

  s ≤ 21.75/0.34 ≈ 63.97

Jody can buy up to 63 sheets of paper.

Answer:

75/4 or 18 3/4

Step-by-step explanation:

To add 7 1/2, 3.25, and 4, we can start by converting the mixed number 7 1/2 to an improper fraction:

7 1/2 = 15/2

Then, we can add the fractions by finding a common denominator:

15/2 + 13/4 + 16/4

Since 2, 4, and 4 are all factors of 4, we can use 4 as our common denominator:

30/4 + 13/4 + 16/4 = 59/4

Finally, we can add the whole number 4 to get:

59/4 + 4 = 75/4

So the sum of 7 1/2, 3.25, and 4 is 75/4 or 18 3/4.

Answer:

-13, -9, 2, 12, 25

Control procedures are those that enable researchers to rule out specific causes for results other than the hypotheses they intend to test.

In a controlled experiment, every factor besides the independent variable is kept under control or constant to ensure that it has no impact on the dependent variable.

This experiment involves the systematic manipulation of an independent variable (the cause) and the measurement of the dependent variable (the effect). This ensures that any extraneous variables are controlled.

This experiment aids the researcher in determining whether the experimental group and control group differ from one another.

For example, during the medication effect test, the group that receives the medication is referred to as the experiment group. Those who don't get any medication are referred to as the control group.

To know more about the controlled experiment:

https://brainly.com/question/3210387

#SPJ4

Answer:

10

Step-by-step explanation:

Answer:

\(\mathrm{88 + v}\)

If the intercept of a multiple linear regression is not statistically significant but the slopes are, it means that the relationship between the independent variables and the dependent variable starts from zero, and the slopes represent the change in the dependent variable for each unit change in the independent variables.

In multiple linear regression, the intercept represents the value of the dependent variable when all independent variables are zero. If the intercept is not statistically significant, it means that the relationship between the independent variables and the dependent variable does not start from a non-zero value. Instead, it starts from zero.

On the other hand, if the slopes are statistically significant, it means that there is a significant relationship between the independent variables and the dependent variable, and each unit change in the independent variables leads to a significant change in the dependent variable. The slopes represent the magnitude and direction of this change. Therefore, although the intercept is not significant, the slopes provide meaningful information about the relationship between the variables.

Learn more about independent variables here:

https://brainly.com/question/33270051

#SPJ11

The question is:

This means it is required to find the z-score for 0.05.

To do this, you have to refer to the Area Under Normal Distribution Table.

z-scores are given along the 1st column and 1st row.

The value 0.05 is the significance level. We have to find its corresponding confidence level. To do that, subtract from 0.5:

The z-score for 0.45 is the same as the z-score for 0.05.

Check this or its approximate value in the table:

You'll see for 0.4495.

This falls on 1.6 under .04

Add them together to get 1.6+0.04=1.64

The z-score is 1.64.

The answer is B i hopes this helps

Answer:

The equation of new function is: G(x)=|x+4|

Step-by-step explanation:

We are given:

If you shift the absolute value parent function, F(x) = |x|, left 4 units,

We need to find:

the equation of the new function

We know that: If we have parent function f(x) and g(x)=f(x+c) there will be horizontal translation left c units.

We are parent function, F(x) = |x|

So, Our function went translation of 4 units left

So, the new function will be:

G(x)=|x+4|

So, The equation of new function is: G(x)=|x+4|

Answer: The simplification is \(5*a^{-9}*b^{-9}\)

Step-by-step explanation:

Here we need to use the property:

\(\frac{a^n}{a^m} = a^{n - m}\)

We have the expression:

\(\frac{25*a^{-5}*b^{-8}}{5*a^{4}*b}\)

We can separate it in parts with the same base, then we can rewrite this as:

\(\frac{25*a^{-5}*b^{-8}}{5*a^{4}*b} = \frac{25}{5} \frac{a^{-5}}{a^4} \frac{b^{-8}}{b}\)

Using the first property we can rewrite this as:

\(\frac{25}{5} \frac{a^{-5}}{a^4} \frac{b^{-8}}{b} = 5*a^{-5 - 4}*b^{-8 - 1} = 5*a^{-9}*b^{-9}\)

The answer is 7.99996224.

To find the area of the region described, we first need to determine the points of intersection between the three equations. The first two equations intersect when 8,192 √x = 128x^2. Simplifying this equation, we get x = 1/64. Plugging this value back into the equation y = 8,192 √x, we get y = 8.
The second and third equations intersect when 128x^2 = y = 8,192 √x. Simplifying this equation, we get x = 1/512. Plugging this value back into the equation y = 128x^2, we get y = 1.
Therefore, the region described is bounded by the lines y = 8, y = 8,192 √x, and y = 128x^2. To find the area of this region, we need to integrate the difference between the two functions that bound the region, which is (8,192 √x) - (128x^2), with respect to x from 1/512 to 1/64.
Evaluating this integral gives us the exact area of the region, which is 7.99996224 square units. Therefore, the answer is 7.99996224.

To know more about Points of Intersection visit:
https://brainly.com/question/14217061
#SPJ11

(a) R4= 61.4626 and (b) L4= 61.4626.

In order to estimate the area under the graph of f(x) = 10 sqrt x from x = 0 to x = 4 using four approximating rectangles and right endpoints, we need to use the formula:

Rn = Δx [f(x1) + f(x2) + f(x3) + ... + f(xn)], where Δx is the width of each rectangle and f(xi) is the height of the rectangle at the right endpoint of the ith interval.

Step 1: Calculation of ∆x.∆x = (4 - 0)/4 = 1

Step 2: Calculation of xi for i = 1, 2, 3 and 4.x1 = 1, x2 = 2, x3 = 3, x4 = 4

Step 3: Calculation of f(xi) for i = 1, 2, 3 and 4.f(x1) = 10√(1) = 10f(x2) = 10√(2) ≈ 14.1421f(x3) = 10√(3) ≈ 17.3205f(x4) = 10√(4) = 20

Step 4: Calculation of R4.R4= ∆x [f(x1) + f(x2) + f(x3) + f(x4)]R4= 1[10 + 14.1421 + 17.3205 + 20]= 61.4626Area ≈ 61.4626 square units.

Step 5: Calculation of L4.Ln = ∆x [f(x0) + f(x1) + f(x2) + ... + f(xn-1)]

Where x0 is the initial value.

Here, we can find the value of L4 by using the left endpoints.

So, x0 = 0L4 = ∆x [f(x0) + f(x1) + f(x2) + f(x3)]L4 = 1 [f(0) + f(1) + f(2) + f(3)]L4 = 1 [10 + 14.1421 + 17.3205 + 20]L4 = 61.4626

Therefore, (a) R4= 61.4626 and (b) L4= 61.4626.

Know more about  rectangles here,

https://brainly.com/question/29123947

#SPJ11

Answer:

0.002 pounds

Step-by-step explanation:

1lb / 500 = 0.002 pounds

Answer:  5: 7

Step-by-step explanation:

The total number for teacups: 2 yellow teacups + 5 brown teacups = 7 teacups

the ratio compares the number of brown teacups to the total number of teacups is :

5: 7

The ratio that compares the number of brown teacups to the total number of teacups is 5: 7

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We are given that Mei has 2 yellow teacups and 5 brown teacups.

The total number for teacups is;

2 yellow teacups + 5 brown teacups = 7 teacups

Therefore, the ratio compares the number of brown teacups to the total number of teacups can be;

5: 7

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ2

Answer:

520% of 100 = 520

Step-by-step explanation:

here, let the number be x

x = (520/100) × 100 (since % means-divide by 100)

x = 520

hence 520% of 100 is 520

Answer:

The answer is 7/6. Hope this helps.

The derivative and domain of the function f(x) = x²-2x³  is :\((-\infty, \infty)\).

The slope of a function's graph or, more precisely, the slope of the tangent line at a point can be used to interpret a function's derivative.

Its computation actually stems from the slope formula for a straight line, with the exception that curves require the employment of a limiting procedure.

Calculation for the derivative:

Step 1: Use the definition of the derivative. Remember that f(x+h) means plug (x+h) into everywhere there is an "x" in f(x).

\(\begin{aligned}f^{\prime}(x) &=\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h} \\&=\lim _{h \rightarrow 0} \frac{(x+h)^{2}-2(x+h)^{3}-\left(x^{2}-2 x^{3}\right)}{h} \\&=\lim _{h \rightarrow 0} \frac{\left(x^{2}+2 h x+h^{2}\right)-2(x+h)(x+h)^{2}-x^{2}+2 x^{3}}{h} \quad \text { cancel } x^{2}\end{aligned}\)

       \(\begin{aligned}&=\lim _{h \rightarrow 0} \frac{\left(2 h x+h^{2}\right)-2(x+h)\left(x^{2}+2 h x+h^{2}\right)+2 x^{3}}{h} \\&=\lim _{h \rightarrow 0} \frac{\left(2 h x+h^{2}\right)-2\left(x^{3}+2 h x^{2}+h^{2} x+h x^{2}+2 h^{2} x+h^{3}\right)+2 x^{3}}{h} \\&=\lim _{h \rightarrow 0} \frac{2 h x+h^{2}-2 x^{3}-4 h x^{2}-2 h^{2} x-2 h x^{2}-4 h^{2} x-2 h^{3}+2 x^{3}}{h}\end{aligned}\)

       \(=\lim _{h \rightarrow 0} \frac{2 h x+h^{2}-6 h x^{2}-6 h^{2} x-2 h^{3}}{h}\)

Step 2: Cancel out a factor of h from each term in the numerator with the h in the denominator. Then direct substitute h=0.

      \(\begin{aligned}&=\lim _{h \rightarrow 0}\left(2 x+h-6 x^{2}-6 h x-2 h^{2}\right) \\&=2 x+0-6 x^{2}-6(0) x-2(0)^{2} \\&=2 x-6 x^{2}\end{aligned}\)

f and f' are polynomials, so their domains are all real numbers.

Therefore,  for f(x) = x²-2x³      domain of f and f' :\((-\infty, \infty)\).

′To know more about differentiation, here

https://brainly.com/question/954654

#SPJ4

The complete question is -

Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative f(x) = x²-2x³.