anybody help please Mhm is this right​

Answer:

x = -2

Step-by-step explanation:

f(x) = 2( x^2 +9x -5x - 45)

f(x) = 2(x^2 + 4x - 45)

f(x) = 2x^2 +8x -90

axis of symmetry formula: x = -b / 2a

x = -(8) / 2(2)

x = -8 / 4

x = -2

*you can also graph the equation on a graphing calculator and find the middle of the parabola

Answer:

D. 96

First we can express in numbers how many students are freshman :

(28:100)=0.28 (percent into integer)

Then we multiply this number with 1600

1600*0.28=448 (this is the number of freshman)

Now we do it again with the number of juniors

(22:100)=0.22

1600*0.22= 352

Now we only subtraction these two numbers

448-352= 96

So we now know that there is 96 more freshmens than juniors

Answer:

step 1 communative property

Step-by-step explanation:

just look it up I forget about this

The maximum number of units of product P and Q that can be produced is 45, and 10 respectively.

Let's assume the number of units of product P to be produced is 'x', and the number of units of product Q to be produced is 'y'.

According to the given information, each unit of product P requires 20 units of raw material A and 10 units of raw material B.

Therefore, the total units of raw material A required for producing 'x' units of product P would be 20x,

and the total units of raw material B required would be 10x.

Similarly, each unit of product Q requires 30 units of raw material A and 50 units of raw material B.

Therefore, the total units of raw material A required for producing 'y' units of product Q would be 30y,

and the total units of raw material B required would be 50y.

Since the total available units of raw material A are 1200 and the total available units of raw material B are 950,

write the following equations,

20x + 30y ≤ 1200 (equation 1) ___ for raw material A

10x + 50y ≤ 950 (equation 2) ___ for raw material B

To find the maximum values of 'x' and 'y' that satisfy these equations,

solve this system of linear inequalities.

To simplify the equations, let's divide both sides of equation 1 by 10 and equation 2 by 10,

2x + 3y ≤ 120 (equation 1)

x + 5y ≤ 95 (equation 2)

Now,  use substitution method to find the feasible solutions for 'x' and 'y'.

From equation 2, rearrange it as,

x ≤ 95 - 5y

Substituting this value of 'x' in equation 1, we get,

2(95 - 5y) + 3y ≤ 120

190 - 10y + 3y ≤ 120

190 - 7y ≤ 120

-7y ≤ -70

y ≥ -70 / -7

y ≥ 10

Now, substitute this value of 'y' in equation 2,

x + 5(10) ≤ 95

x + 50 ≤ 95

x ≤ 95 - 50

x ≤ 45

Hence, the feasible range of values for 'x' is 0 ≤ x ≤ 45, and the feasible range of values for 'y' is y ≥ 10.

To exhaust the supply of raw materials,

Produce the maximum number of units of products P and Q. So, take the highest possible values,

If set x = 45, then y = 10 (to satisfy equation 2).

If set y = 10, then x = 45 (to satisfy equation 1).

Therefore, the maximum number of units of product P that can be produced is 45, and the maximum number of units of product Q that can be produced is 10.

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A(3) = 185mg

Formula for exponential growth/decay is

A(t) = A0 * e^(xt)

Where A0 is your initial amount

x is your percentage

t is the time

A(3) = 250 * e^(-0.1*3)

A(3) = 185.2mg

Key point x is negative in this case as it's a decaying function. If it was growth it would be positive

The integral to find the length of the curve x = y + y^4 for 1 ≤ y ≤ 5 is L = ∫1^5 √[1 + [3(y + y^4)^2 + 1]^2/[16(y + y^4)^3]] dy

The formula for arc length of a curve y = f(x) between two points a and b is given by:

L = ∫a^b √(1 + [f'(x)]^2) dx

In this case, we need to express the curve x = y + y^4 in terms of y. Solving for y, we get:

y = (x/(1 + x^3))^(1/4)

Taking the derivative of y with respect to x, we get:

dy/dx = (1/(4(x^3 + 1))) * (3x^2 + 1)/(1 + x^3)^(3/4)

Squaring and simplifying the expression, we get:

[dy/dx]^2 = [3x^2 + 1]^2/[16(x^3 + 1)^(3/2)]

Substituting x = y + y^4, we get:

[dy/dx]^2 = [3(y + y^4)^2 + 1]^2/[16(y + y^4)^3]

Using the formula for arc length, we can now set up the integral to find the length of the curve:

L = ∫1^5 √(1 + [dy/dx]^2) dy

Substituting the expression for [dy/dx]^2, we get:

L = ∫1^5 √[1 + [3(y + y^4)^2 + 1]^2/[16(y + y^4)^3]] dy

This is the integral to find the length of the curve x = y + y^4 for 1 ≤ y ≤ 5.

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The measure of angle COD will be 85° and it will be an acute angle.

If an angles is less than 90°, it is known as an acute angle. If it is more than 90°, it will be an obtuse angle. And if it is equal to 90, then it is called a right angle.  

Here, we are given a a figure and we need to find the measure of ∠COD.

∠COD can be written as ∠AOB - ∠AOC - ∠DOB

Here, ∠AOB = 180° (straight line)

∠AOC = 30°

and ∠DOB = 65°

Thus, ∠COD = 180 - 30 - 65

∠COD = 180 - 95

∠COD = 85°

As ∠COD is less than 90°, it will be an acute angle.

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Answer:

−4 < x  < 2

Step-by-step explanation:

−1 < x + 3 < 5

Subtract 3 from all sides

−1-3 < x + 3-3 < 5-3

−4 < x  < 2

Answer:

3

Step-by-step explanation:

25.5-9.5=16

16-15=1 (highest multiple of 5 that fits into 16)

He can buy 3 cds and he will have $1 left over

Lets do

\(\\ \Large\sf\longmapsto 150:450:750\)

\( \\ \Large\sf\longmapsto \frac{150}{ \dfrac{450}{750} } \\ \\ \Large\sf\longmapsto \frac{15}{ \dfrac{45}{75} } \\ \\ \Large\sf\longmapsto \frac{3}{ \dfrac{9}{15} } \\ \)

Simplified ratio is

\(\boxed{\LARGE{\sf \$1:\$3:\$5}}\)

Answer:

1        : 3     : 5

Step-by-step explanation:

$150 : $450 : $750

Divide each by 150

$150/150 : $450/150 : $750/150

1        : 3     : 5

1). The given coordinate is (4,0,3).

To determine the location of the given coordinate move 4 units in positive x-direction, then move 3 units in the positive z-direction.

Thus, the P point gives the requried location of the given point.

Answer:

0

Step-by-step explanation:

y2 - y1 / x2 - x1

13 - (-3) / 2 - 2

16/0

= 0

Answer:

1 cause 6times1 is 5 or its 3p cause 6times5 is 30

A bicycle repair shop that offers two service packages: a tune-up and a complete overhaul.

The shop operates for 60 hours per week and receives an average of 180 bicycles each week. To analyze the capacity and utilization of the process, we need to consider the time taken at each stage and the demand for each service option. We'll break down the problem into multiple parts and provide a detailed explanation using mathematical terms.

a) Creating the Demand Matrix:

To create a demand matrix, we need to determine the number of bicycles going through each stage of the process. Let's denote the demand for tune-up as T and the demand for additional services as A.

Given that the average number of bicycles received per week is 180 and 25% of customers opt for additional services, we can calculate the demands as follows:

Demand for tune-up (T) = Total demand - Demand for additional services

T = 180 - (0.25 * 180)

T = 180 - 45

T = 135

Demand for additional services (A) = 0.25 * Total demand

A = 0.25 * 180

A = 45

Now, we can create a demand matrix based on the demand for each service option:

Demand Matrix:

Tune-up Additional Services Wheel Balancing

Tune-up  [135  0  0]

Additional [0  45  0]

Services

Total [ 135  45  0 ]

The demand matrix shows the number of bicycles flowing through each stage of the process.

b) Daily Capacity at Each Stage:

To calculate the daily capacity at each stage, we need to consider the time taken for each service option. Given that the shop operates for 60 hours per week, we can calculate the daily capacity at each stage:

Tune-up technician time per bicycle (\(T_{tuneup}\)) = 75 minutes

Additional services technician time per bicycle (\(T_{additional}\)) = 72 minutes

Wheel balancing specialist time per bicycle (\(T_{balancing}\)) = 20 minutes

Daily Capacity (C) = (60 hours * 60 minutes) / (\(T_{tuneup}\) + \(T_{additional}\) + \(T_{balancing}\))

Substituting the given values:

C = (60 * 60) / (75 + 72 + 20)

C = 21600 / 167

C ≈ 129.34 bicycles per day

Therefore, the daily capacity at each stage of the process is as follows:

Tune-up: 129 bicycles per day

Additional Services: 129 bicycles per day

Wheel Balancing: 129 bicycles per day

c) Implied Utilizations:

To find the implied utilizations, we need to compare the demand and the capacity at each stage of the process. Utilization can be calculated as the demand divided by the capacity.

Implied Utilization (U) = Demand / Daily Capacity

For the Tune-up stage:

\(U_{tuneup}\) = 135 / 129 ≈ 1.05

For the Additional Services stage:

\(U_{additional}\) = 45 / 129 ≈ 0.35

For the Wheel Balancing stage:

\(U_{balancing}\) = 0 / 129 = 0

The implied utilizations show how efficiently each stage of the process is being utilized. Utilization values greater than 1 indicate that the stage is operating beyond its capacity.

d) Weekly Capacity of the Process:

To calculate the weekly capacity of the process, we multiply the daily capacity by the number of days the shop is open per week:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Given that the shop is open for 60 hours per week, the number of days the shop is open per week can be calculated as follows:

Number of days shop is open per week = 60 hours / 24 hours per day = 2.5 days

Therefore, the weekly capacity of the process is:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Weekly Capacity = 129 bicycles per day * 2.5 days

Weekly Capacity = 322.5 bicycles per week

e) Flow Rate and Constraint Analysis:

To determine if the flow rate of the process is capacity-constrained or demand-constrained, we compare the weekly capacity to the demand for each service option.

Demand for Tune-up (\(T_{demand}\)) = 135 bicycles per week

Demand for Additional Services (\(A_{demand}\)) = 45 bicycles per week

Comparing the demands with the weekly capacity:

\(T_{demand}\) < Weekly Capacity (135 < 322.5)

\(A_{demand}\) < Weekly Capacity (45 < 322.5)

Since both the demands for tune-up and additional services are less than the weekly capacity, the flow rate of the process is demand-constrained. This means the shop has the capacity to handle the current demand without operating beyond its limits.

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Answer:

5

Step-by-step explanation:

(13−(1+2))(2)

       4

=  (13−3)(2)

       4

=  (10)(2)

      4

= 20

  4

= 5 (the answer is 5)

It is true that (51)n+1 + n = O(lg n).

Select all the statements below which are TRUE.
The true statements are the following:

1. 2n + (2n)5 + n! = Ω(n!)
2. (2n)3 lg n + n2 lg3 n = θ(n3 lg n)
3. (51) n+1 + n = O(lg n)

Statement 1: 2n + (2n)5 + n! = Ω(n!)
We know that n! grows faster than 2n and (2n)5.

Hence, it is true that 2n + (2n)5 + n! = Ω(n!).

Statement 2: (2n)3 lg n + n2 lg3 n = θ(n3 lg n)
We know that the fastest-growing term in the above function is n3 lg n. Therefore, it is true that (2n)3 lg n + n2 lg3 n = θ(n3 lg n).

Statement 3: (51)n+1 + n = O(lg n)
Since 51 is greater than 1, we can say that (51)n+1 grows faster than n. Hence, it is true that (51)n+1 + n = O(lg n).

Note: The remaining statements are false.

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Answer:

v =  4

Step-by-step explanation:

Given

- 5v + 4 = 2v - 6v, that is

- 5v + 4 = - 4v ( add 4v to both sides )

- v + 4 = 0 ( subtract 4 from both sides )

- v = - 4 ( multiply both sides by - 1 )

v = 4

To find the number that is 1/5 as big as the given number, you need to divide the given number by 5.

A fraction is a numerical quantity that represents a part of a whole. Fractions are typically written in the form of two numbers separated by a horizontal line, with the number on top called the numerator and the number on the bottom called the denominator. Fractions can be used to represent numbers that are less than one, as well as numbers that are greater than one. They can be added, subtracted, multiplied, and divided like any other numbers, and they can be converted into decimals or percentages for easier comparison and computation. Fractions are commonly used in everyday life, for example, when dividing a pizza into equal slices or calculating a discount on a sale item. They are also used extensively in mathematics, science, and engineering to represent ratios, proportions, and other relationships between quantities.

Here,

For example, if the given number is 20, to find the number that is 1/5 as big, you would divide 20 by 5, which gives you 4. So, the answer to your question depends on the specific number that you have been given. If you provide me with the number, I can help you find the number that is 1/5 as big.

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Complete question:

You are given a number. Do you know the number that is 1/5 as big as the given number?

Answer: 1/4

Step-by-step explanation:

He needs 4 3/4 whole tiles, you could round it to 5 whole tiles. He needed 4 3/4 whole tiles. To completely fill in all the spaces on the wall evenly, it needs to be 5 even, while, tiles. To fill in the empty space, you must subtract 5 and 4 3/4, which explains why Part A says “How many whole tiles does he need” and the answer “4 3/4” So, Subtraction: 5- 4 3/4 = 1/4!

Your welcome :)

Ken must install 3/4 fraction of tile at the end of the row to totally fill the space.

Given that,
Ken wants to install a row of ceramic tiles on a wall that is 21 3/8 inches wide. Each tile is 4 1/2 inches wide. What fraction of a tile must he install at the end of the row to totally fill the space is to be determined.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Total length of the wall = 21 3 / 8 = 21 . 375
Width of tile = 4 1/2 = 4.5
Now, the ratio of wall to tile = 21. 375 / 4.5
quotient = 18 Remainder = 3.375
Now the ratio of the remainder to the tile = 3.375 / 4.5 = 0.75 or  3 / 4.

Thus, Ken must install 3/4 fraction of tile at the end of the row to totally fill the space.

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The area of the shaded region of this figure which can be calculated by the difference of the larger region from the smaller region would be 104 in.²

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Area of a larger rectangle

= Length × Width

= 18 × 12

= 216 in.²

Area of the smaller rectangle

Length = 12 - 2 - 2 = 8 in.

Width = 18 - 2 - 2 = 14 in.

= Length × Width

= 8 × 14

= 112 in.²

Area of the shaded region = Area of a larger rectangle - Area of the smaller rectangle

= 216 - 112

= 104 in.²

Hence, the area of the shaded region of this figure is 104 in.²

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Answer:

Isosceles triangle.

Step-by-step explanation:

Answer:

a). 12.5 liters of real fruit juice would be needed to produce 250 liters of Drink A, and 20 liters of real fruit juice would be needed to produce 250 liters of Drink B

b). 0.05aa liters of real fruit juice would be needed to produce aa liters of Drink A, and 0.1bb liters of real fruit juice would be needed to produce bb liters of Drink B  

Step-by-step explanation:

a). Drinks A(250 liters) and Drink B(200 liters)

Total amount of Drink A=250 liters

Real fruit juice=5% of Drink A=(5/100)×250=12.5 liters

12.5 liters of real fruit juice would be needed to produce 250 liters of Drink A

Total amount of Drink B=200 liters

Real fruit juice=10% of Drink B=(10/100)×200=20 liters

20 liters of real fruit juice would be needed to produce 250 liters of Drink B

b). Drinks aa and bb

Total amount of Drink A=aa liters

Real fruit juice=5% of Drink A=(5/100)×aa=0.05aa liters

0.05aa liters of real fruit juice would be needed to produce aa liters of Drink A

Total amount of Drink B =bb liters

Real fruit juice=10% of Drink 10=(10/100)×bb=0.1bb liters

0.1bb liters of real fruit juice would be needed to produce bb liters of Drink B

Answer: h(-1) is -3.

Step-by-step explanation: Given that the input of the function is -1, we can subsitute that for x.

2(-1) - 1

= -2 - 1

= -3.

Answer:

h (-1)  

  -3

Step-by-step explanation:

h (-1) = 2 (-1) - 1

simplify 2.. (-1) - 1

answer= -3

h(-1) is undefined in the real number system since the square root of a negative number is not a real number.

What is the real number?

Real numbers are a set of numbers that include all rational and irrational numbers. They can be represented on the number line and are often used to represent physical quantities such as distance, time, and temperature.

To find h(-1), we substitute -1 for x in the given equation for h(x) and simplify:

h(x) = (√x+5)/(6x-2)

h(-1) = (√(-1)+5)/(6(-1)-2) [Substitute x=-1]

= (√(-1) is not a real number, since the square root of a negative number is not real]

Therefore, h(-1) is undefined in the real number system since the square root of a negative number is not a real number.

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The first thing we need to do is collect like terms; move all the terms in p to one side of the equation and move the rest to the other side of the equation;

We'll now divide both sides of the equation by 14, which will give us the below;

Therefore, the correct answer is option G which is -2/7 as seen in our answer.

There are 7315 different ways to get 4 tails out of 22 tosses of a coin.

There are a few different ways to approach this problem, but one common method is to use the binomial coefficient formula, which is often written as:

C(n,k) = n! / (k! * (n-k)!)

Where n! is the factorial of n, which is the product of all the numbers from 1 to n.

For example, 5! = 5 * 4 * 3 * 2 * 1 = 120.

In this case, we want to find the number of ways to get 4 tails out of 22 tosses, so we can plug in n = 22 and k = 4 into the formula:

C(22,4) = 22! / (4! * (22-4)!)

Simplifying the factorials gives us:

C(22,4) = 22! / (4! * 18!)

C(22,4) = (22 * 21 * 20 * 19 * 18!)/(4! * 18!)

C(22,4) = (22 * 21 * 20 * 19)/(4 * 3 * 2 * 1)

C(22,4) = 7315

So there are 7315 different ways to get 4 tails out of 22 tosses of a coin.

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Answer:

asa

Step-by-step explanation:

it says that angle 6 and angle 9 are congruent and side om is congruent to side em and then the angle 7 and 8 are congruent because they are vertical angles and vertical angles are equal to each other. so it gives you angle side angle which is why the correct answer is asa

Answer:

19.8 x 24 = 475.2

Step-by-step explanation:

Answer: 475.2

Step-by-step explanation:

You might be new to decimals, or the little . in the numbers, think of 19.8 as money, its 19 dollars and 8 cents, or $19.8, so 19.8 x 24 is 475.2.