An after-school program consists of two groups, Section X and Section Y. In order for the program to run, there must be at least 95 students total. There must be at most 5 less students in Section Y than in Section X. Write a system of inequalities to model the number of students in each of the two sections. Then solve the system by graphing.

Answer:

17

Step-by-step explanation:

so x stays the same, so you look at the y integers and to get to the negatives you have to go down 5 times, then 12 more to get to -12. So 5+12= 17

Hope this helps!!!!

The isoelectric point (pI) for histidine is 3.92. The correct answer is option (b).

To determine the isoelectric point (pI) for histidine, we need to consider the pKC, pKN, and pKR values, which are 1.80, 9.33, and 6.04, respectively. The isoelectric point is the pH at which the amino acid has a neutral charge.
Step 1: Identify the two relevant pK values. Since histidine has three ionizable groups, we need to find the two pK values that involve the amino and carboxyl groups. These are pKC (1.80) and pKR (6.04).

Step 2: Calculate the average of these two pK values: (1.80 + 6.04) / 2 = 3.92.
The isoelectric point (pI) for histidine is 3.92, which corresponds to option b. This means that at a pH of 3.92, histidine will have a neutral charge.

To know more about isoelectric point click here

brainly.com/question/31609011

#SPJ11

We have the following:

Answer:

y= 1

Step-by-step explanation:

its right

Move all terms containing

y to the left side of the equation.Subtract 8y from both sides of the equation.

−2y+4−8y=−6

Subtract

8y from −2y

-10y+4=−6

Move all terms not containing y to the right side of the equation.

Subtract 4 from both sides of the equation

−10y=−6−4

Subtract 4 from −6.

−10y=−10

Divide each term by −10 and simplify.

y=1

The value of x based on the information regarding the area is D. 2.

The area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.

Based on the information, the area of a rectangle will be:

=Length × Width

2x(x + 2) = 16

2x² + 4x - 16 = 0

x² + 2x - 8 = 0

x² + 4x - 2x - 8 = 0

x(x + 4) - 2(x + 4)

x - 2 = 0

x = 2

Learn more about area on:

brainly.com/question/25292087

#SPJ1

In point-slope form, the equation for line that passes through (-3 , -8) and slope -5 is :

y + 5x = -23.

Given a line with the coordinates (-3, -8) and a slope of m = -5.

For the line, we must find an equation in point slope form.

(y - y1 ) = m(x - x1) is the point slope form of a line.

According to the question,

(m) slope = - 5

And the line goes through (x1 , y1) = ( -3 , -8 )

Therefore( y - y1 ) = m ( x - x1)

y + 8 = -5 ( x + 3 )

y + 8 = -5x - 15

y + 5x = - 23

Therefore the equation for line in point-slope form is y + 5x = -23.

To learn more about equation of line refer to :

https://brainly.com/question/13763238

#SPJ1

To draw the supply and demand for labor in a market in equilibrium, and illustrate the impact of a labor union, we can use a standard supply and demand graph with quantity of labor (Q) on the x-axis and wage (W) on the y-axis.

Market in Equilibrium:

In a competitive labor market, the supply of labor represents the quantity of workers willing and able to work at various wage levels. The demand for labor represents the quantity of workers that firms are willing to hire at various wage levels. In equilibrium, the supply and demand curves intersect.

Let's assume that at the equilibrium, the wage is labeled as We and the quantity of labor is labeled as Qe.

Graphically, the supply curve (S) slopes upward from left to right, indicating that higher wages incentivize more workers to enter the labor market. The demand curve (D) slopes downward from left to right, indicating that higher wages result in fewer workers being demanded by firms.

Place the equilibrium point (We, Qe) where the supply and demand curves intersect on the graph.

Impact of a Labor Union:

When a labor union represents workers in the industry, it can negotiate for better wages and working conditions on behalf of its members. This can shift the supply and/or demand curve.

a. Shift in the Supply Curve:

If the labor union successfully negotiates higher wages for its members, it can result in an upward shift of the supply curve. This shift represents an increase in the quantity of labor supplied at each wage level.

Draw a new supply curve (S') above the original supply curve. The new supply curve should intersect the demand curve (D) at a higher wage level (Wu) and a greater quantity of labor (Qu).

b. Shift in the Demand Curve:

If the labor union's demands result in higher production costs for firms, it can lead to a decrease in labor demand. This can cause a leftward shift of the demand curve.

Draw a new demand curve (D') to the left of the original demand curve. The new demand curve should intersect the supply curve (S) at a lower wage level (Wd) and a lower quantity of labor (Qd).

Label the new equilibrium point with a labor union as (Wu, Qu).

Note: The specific shift and its impact (supply or demand) depend on various factors and the specific circumstances of the labor union's actions. The above explanation provides a general example.

By graphically illustrating the changes in the labor market due to the presence of a labor union, you can visually see the impact on the equilibrium wage and quantity of labor.

To learn more about supply and demand here:

https://brainly.com/question/32690102

#SPJ4

USB Type-C is a proprietary connector type that features a symmetrical/reversible connector plug. It was developed as a substitute for all current USB connectors. It is known for its versatility and ease of use, making it a popular choice for manufacturers.

The proprietary connector type that features a symmetrical/reversible connector plug is USB Type-C.USB Type-C: Proprietary connector type

USB Type-C is a proprietary connector type that has a symmetrical/reversible connector plug. It was created in August 2014 and was intended to be a substitute for all existing USB connectors. The connector, which is completely reversible, has a symmetrical design that eliminates the need for device-specific plugs and cables.USB Type-C allows for higher power transmission, making it ideal for devices that require fast charging. It has a faster data transfer rate than USB 3.0, making it faster than its predecessor.USB Type-C's primary goal is to provide a single connector solution that can be used for power, data, and display. The ability to plug the connector in either way makes it simple to use and eliminates the possibility of damaging the port.USB Type-C is now becoming more common in modern devices, including smartphones, tablets, and laptops. Its versatility and ease of use make it a popular choice for manufacturers.

To know more about USB connectors visit:

brainly.com/question/28333162

#SPJ11

We can plot in the coordinate plane if an ordered pair is known to us.

The space or plane in where location of points is represented by a pair of numerical terms with respect to some reference lines or reference direction is called coordinate plane.

let we have some pair of numerical terms such as A (4, 9) and B (6, 10)

that is needed to plot in the coordinate plane.

At first, we will plot the point A (4, 9)

we will start from the origin and move horizontally along the direction of X axis up to 4 unit. In the next, start again and move up vertically in the direction of y axis up to 9 unit. And we will draw a point at the final location.

By the same way, we can plot the point B.

To know more about coordinate plane visit:

https://brainly.com/question/24134413

#SPJ4

Answer:

5/6 ÷ 1/12 = 10

Step-by-step explanation:

5/6 ÷ 1/12     =      5/6 x 12/1 = 60/6 = 10

Proof:

5/6 tank = 10/12 tank

If each trip takes 1/12 tank, then 10 ÷ 1 = 10 trips

Answer:

Option A

Step-by-step explanation:

→ Multiply both sides by 2

2s = a + b + c

→ Minus b and c from both sides

2s - b - c = a

Answer:

$1.5

Step-by-step explanation:

$7- 5.50= 1.5

the base-ten representation for 19! = 121,6T5,100,40M,832,000 then

H+M+T =12

19! has three 5s so it will end with three 0s.

Hence H = 0

19! = 121,6T5,100,40M,832,000 = 121,6T5,100,40M,832 * 1000

19! has many 2s. So M832 will be divisible by 16 (last 4 digits).

So M000 + 832 is divisible by 16. 832 is completely divisible by 16. Since 16*5 = 80, 8000 must be divisible by 16.

M = 8

19! = 121,6T5,100,408,832,000

Since 19! is divisible by 9, sum of all digits must be divisible by 9.

1+2+1+6+T+5+1+4+8+8+3+2 = T + 41

To make this divisible by 9, T must be 4.

H+M+T = 0 + 8 + 4 = 12

learn more about of representation here

https://brainly.com/question/27987112

#SPJ4

Answer:

Step-by-step explanation:

g(f(x))

g(-x^2 - 1)

-x^2 + 0x + 4= -x^2 + 4

The new estimator θ^3 is also an unbiased estimator with an expectation equal to θ.

(a) The values of E(θ^1) and E(θ^2) are unknown without further information. Being unbiased estimators means that, on average, they provide estimates that are equal to the true population parameter θ. Therefore, we have:

E(θ^1) = θ

E(θ^2) = θ

(b) To find the expectation E(θ^3), we can use the linearity property of expectations:

E(θ^3) = E(aθ^1 + (1 - a)θ^2)

Since θ^1 and θ^2 are unbiased estimators, their expectations are equal to θ:

E(θ^3) = E(aθ^1 + (1 - a)θ^2) = aE(θ^1) + (1 - a)E(θ^2)

Using the values from part (a), we have:

E(θ^3) = aθ + (1 - a)θ = θ(a + 1 - a) = θ

Therefore, the new estimator θ^3 is also an unbiased estimator with an expectation equal to θ.

Learn more about estimator from

https://brainly.com/question/28416295

#SPJ11

Answer: No

Step-by-step explanation:

9 is not on the opposite side of 0 on the number line compared to 9, since they are the same number.

The answer to 1 7/9 ÷ 4/5 is 1 in lowest terms.

The formula to divide two fractions is to multiply the numerator of the first fraction by the denominator of the second fraction and the denominator of the first fraction by the numerator of the second fraction. In this example, I will divide 1 7/9 ÷ 4/5. To find the quotient, I will multiply 1 x 5 and 7 x 4. The numerator of the quotient is 35 and the denominator is 45. When the fraction is written in lowest terms, the quotient is 1. To find the lowest terms, I will divide both numerator and denominator by the Greatest Common Factor (GCF). The GCF of 35 and 45 is 5. To find the fraction in lowest terms, I will divide both numerator and denominator by 5. The quotient is now 1. Therefore, the answer to the given problem is 1.

The answer to 1 7/9 ÷ 4/5 is 1 in lowest terms.

Learn more about Greatest Common Factor here:

https://brainly.com/question/11221202

#SPJ4

Answer:

40 cookies

Step-by-step explanation: She would bake 40 cookies in 2 hours because, if she baked 120 in 6 hours it would be like 6 + 6 = 12 but add the zero so yea

Cost of materials for each boy's costume = 5 * 4 * 4 + 5 * 3 * $.50 = 80 + 7.5 = $87.50 Cost of materials for each girl's costume = 6 * 5 * 4 + 6 * 2 * $2 = 120 + 24 = $144

Let A = [5; 6], B = [4; 5], C = [3; 2], D = [4; 2], E = [$.50; $2].

Cost of materials for each costume = A * B * D + A * C * E

Cost of materials for each costume = [5; 6] * [4; 5] * [4; 2] + [5; 6] * [3; 2] * [$.50; $2]

Cost of materials for each costume = [80; 120] + [15; 24]

Cost of materials for each costume = [95; 144]

Total cost of materials for each costume = $239

Cost of materials for each boy's costume = 5 * 4 * 4 + 5 * 3 * $.50 = 80 + 7.5 = $87.50

Cost of materials for each girl's costume = 6 * 5 * 4 + 6 * 2 * $2 = 120 + 24 = $144

Learn more about cost here

https://brainly.com/question/8082054

#SPJ4

Answer:

Step-by-step explanation:

Answer:

293.5

Step-by-step explanation:

Harry Potter RP!!

https://brainly.com/question/20615441

Answer:

226.08

Step-by-step explanation:

V=pir^2h

=3^2 x pi x8

=226.08

The average price of the pickup truck increased by 80%.

To find the percentage increase in the average price of the pickup truck, we need to calculate the difference between the 2012 and 1991 prices, divide that difference by the 1991 price, and then multiply by 100 to get the percentage increase.

First, we need to find the difference between the two prices:

$35,100 - $19,500 = $15,600

Next, we divide the difference by the 1991 price:

$15,600 / $19,500 = 0.8

Finally, we multiply by 100 to get the percentage increase:

0.8 x 100 = 80%

Therefore, the average price of the pickup truck increased by 80%.

for such more question on average price

https://brainly.com/question/25799822

#SPJ11

Answer:

Step-by-step explanation:

The volume of the tub is 5 ft  * 3 ft * 1.5 ft  = 22.5 ft^3

Three-fourths full makes the amount  (3/4)(22.5 ft^3) = 16.875 ft^3

Draining at 1 ft^3 / min, it takes almost 17 minutes  (16 7/8

Answer:

7.55

Step-by-step explanation:

A midpoint can be found by doing 7.2 + 7.9 then dividing by the number of points (in this case 2).