Select the correct answer.

Which expression in factored form is equivalent to this expression?

4(x2 – 2x) – 2(x2 – 3)

A. (2x − 3)(x + 1)

B. 2(x + 1)(x + 3)

C. (2x + 3)(x + 1)

D. 2(x - 1)(x – 3)



Took the test. This is the answer.

The following phrases are used in place of supply chain:

Supply network ; Demand chain ; Extended enterprise ; Supply web.

The supply chain is a networked system of businesses, people, information, and assets created to locate, produce, and transport items from their point of origin to their final destination, which is often from the a supplier to a customer.

Modern supply chains sometimes span several nations and involve numerous processes, making them exceedingly complicated.

The fundamental steps in such a supply chain are as follows:

Thus, the following phrases are used in place of supply chain:

Supply network ; Demand chain ; Extended enterprise ; Supply web.

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Answer:

6250

Step-by-step explanation:

V= lwh /3 = 5·125·30 /3 = 6250

The answer would be C

Hope this helps

Answer:

SW

Step-by-step explanation:

the interest for 1 year:

\(3.5\% \cdot 4000 = 140\)

the interest for 6 months:

\(\dfrac{140}{2} = 70\)

the interest for 1 year 6 months:

\(140+70 = \bf \$ 210\)

Answer:

Step-by-step explanation:

If they were joined together, wouldn't the length of both squares combined be 20cm?

Therefore, it'd be (10+20+10+20) for the perimeter.

60cm.

The Equivalent ratio to 8/2 is 4/1, 24/6, 32/8 and 48/12.

We have,

Cylinder and prism.

Here we have to find the equivalent ratio to 8/2.

First simplifying the given ratio as

8/2

= (4 x 2)/2

= 4 /1

Now, some more ratios equivalent to 8/2.

1. 8/2 x 3/3 = 24/ 6

2. 8/2 x 4/4 = 32/8

3. 8/2 x 6/6= 48/12

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Answer:

0.3

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

I hope this is what you where asking for?

Answer:

solution: \(Sn= \frac{a_{1} (1-q^{n} )}{(1-q)} = \frac{1(1-4^{n}) }{1-4} = \frac{4^{n}-1 }{3}\)

Step-by-step explanation:

The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.

The figures in the image are right triangles.

A)

angle D = 17 degree

Adjacent to angle D = 14 mm

Opposite to angle D = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( 17 ) = x/14

x = tan( 17 ) × 14

x = 4.3mm

B)

angle Z = 82 degree

Adjacent to angle Z = 43.1 m

Hypotenuse = x

Using trigonometric ratio,

cosine = adjacent / hypotenuse

cos( 82 ) = 43.1 / x

x = 43.1 / cos( 82 )

x = 309.7 m

Therefore, the measure of x is 309.7 meters.

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The area of the shaded part is: 42.14 ft² .

Area = s²

Area = 1/4πr²

Thus:

Area of the shaded part of the figure = area of square - area of quarter circle

Area of shaded part = s² - 1/4πr²

s = 14 ft

r = 14 ft

Substitute

Area of shaded part = 14² - 1/4(3.14)(14²)

= 42.14 ft²

Therefore, the area of the shaded part is: 42.14 ft² .

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Answer:

D

Step-by-step explanation:

"The percent is greater than 0 and less than 100, and the decimal is between 0 and 1."

There are a fixed number of trials is not a condition for a geometric setting

In a geometric setting, we are dealing with a sequence of independent trials, where each trial can result in either a success or a failure.

The key concept in a geometric setting is the number of trials needed until the first success occurs.

The trials are independent  is essential in a geometric setting.

It means that the outcome of one trial does not affect the outcome of subsequent trials.

The probability of success is the same for each trial is also crucial in a geometric setting.

It implies that the probability of achieving a success does not change from trial to trial.

There are a fixed number of trials is not specific to a geometric setting.

The variable of interest is the number of trials required to reach the first success is fundamental to a geometric setting.

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Answer:

0.04411764705

Step-by-step explanation:

Answer:

0.04411764705 is the correct answer ┌(・。・)┘♪

Hence, the unit rate in dollars per hour is $\(6.8\) per hour.

What is the unit rate?

Unit rate is a very important factor in Mathematics. A unit rate means a comparison between two units and the superiority and difference between both of them.

Here given that,

For every three hours she works, Alexia earns $\(20.40\).

So, the equation is

\(3x=20.40\\\\x=\frac{20.40}{3}\\\\x=6.8\)

Therefore, she earns $\(6.8\) per hour.

Hence, the unit rate in dollars per hour is $\(6.8\) per hour.

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Answer:

The drug have effect on lowering the cholesterol.

Step-by-step explanation:

H₀ : μ₁ - μ₂ = 0

⇒ H₀ : μ₁ =  μ₂

H₁ : μ₁ - μ₂ < 0

⇒H₁ : μ₁ <  μ₂

Now,

given , n₁ = 23 , n₂ = 23

∴ Degree of freedom = v = n₁ + n₂ - 2

                                         = 23 + 23 - 2 = 44

⇒v = 44

Now,

Given, level of significance = 5% = 0.05

For the given significance level, critical time t = 1.68

As

Decision rule states that'if t < 1.68 , reject H₀

Now,

For Drug:

mean = m₁ = 195

SD = d₁ = 35

People = n₁ = 23

For placebo :

mean = m₂ = 245

SD = d₂ = 31

People = n₂ = 23

Now,

Variance = \(\frac{(23-1)35^{2} + (23-1)31^{2} }{23 + 23 - 2}\)  = 1093

Standard Deviation, S = 33.06

Point estimate = m₁ - m₂ = 195 - 245 = -50

Standard deviation error = S×(\(\frac{1}{n_{1} } + \frac{1}{n_{2} }\) ) = 9.75

Now,

Test statistics = \(-\frac{50}{\sqrt{9.75} } = -5.13\)

⇒ t < 6.13

⇒Reject H₀

⇒The drug have effect on lowering the cholesterol.

Using the combination formula, it is found that:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula, involving factorials. It is used when the order in which the elements are chosen does not matter.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In the context of this problem, we have that seven tablets are chosen from a set of 28 tablets, hence the number of selections that can be made is given by:

\(C_{28,7} = \frac{28!}{7!21!} = 1,184,040\)

For two defective tablets, the selections are given as follows:

Hence the number of selections is calculated as follows:

\(C_{23,5}C_{5,2} = \frac{23!}{5!18!} \times \frac{5!}{2!3!} = 336,490\)

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Answer:

-6

Step-by-step explanation:

Given that :

we are to evaluate the Riemann sum for \(f(x) = 3 - \dfrac{1}{2}x\) from 2 ≤ x ≤ 14

where the endpoints are included with six subintervals, taking the sample points to be the left endpoints.

The Riemann sum can be computed as follows:

\(L_6 = \int ^{14}_{2}3- \dfrac{1}{2}x \dx = \lim_{n \to \infty} \sum \limits ^6 _{i=1} \ f (x_i -1) \Delta x\)

where:

\(\Delta x = \dfrac{b-a}{a}\)

a = 2

b =14

n = 6

∴

\(\Delta x = \dfrac{14-2}{6}\)

\(\Delta x = \dfrac{12}{6}\)

\(\Delta x =2\)

Hence;

\(x_0 = 2 \\ \\ x_1 = 2+2 =4\\ \\ x_2 = 2 + 2(2) \\ \\ x_i = 2 + 2i\)

Here, we are  using left end-points, then:

\(x_i-1 = 2+ 2(i-1)\)

Replacing it into Riemann equation;

\(L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} \begin {pmatrix}3 - \dfrac{1}{2} \begin {pmatrix} 2+2 (i-1) \end {pmatrix} \end {pmatrix}2\)

\(L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 - (2+2(i-1))\)

\(L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 - (2+2i-2)\)

\(L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 -2i\)

\(L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 - \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 2i\)

\(L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 - 2 \lim_{n \to \infty} \sum \imits ^{6}_{i=1} i\)

Estimating the integrals, we have :

\(= 6n - 2 ( \dfrac{n(n-1)}{2})\)

= 6n - n(n+1)

replacing thevalue of n = 6 (i.e the sub interval number), we have:

= 6(6) - 6(6+1)

= 36 - 36 -6

= -6

Answer:

Neither

Step-by-step explanation:

The variable T (weeks until getting food allergic student) follows Geometric Distribution

Given : 25 students & different student chosen to bring snack each week, 8% students have food allergies

To find : T ie number of weeks until student with food allergy is selected, follows which statistical distribution

In this case, we need to find number of weeks trials, needed to achieve a success - ie a student with food allergy.

Hence this follows a Geometric Distribution.

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The difference in volume between the two boxes would be = 156in³

To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;

Volume = length×width×height.

For box 1 = length = 12in, width = 7¾in, height= 2in

Vol = 12×7¾×2 = 186in³

For box 2; length = 3⅔in, width = 3½in, height= 2⅓in

Volume = 3⅔×3½×2⅓ = 30

The difference = 186-30 = 156in³

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The true statement(s) are three non-collinear points determine a plane and two parallel planes have a point in common. Options II and III

Parallel planes are known as planes in the same three-dimensional space that never meet.

Some properties of parallel planes are:

We can deduce that three non- collinear points determine a plane and two parallel planes have a point in common.

Thus, the true statement(s) are three non-collinear points determine a plane and two parallel planes have a point in common. Options II and III

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The missing code that can be used to replace / missing code / so that the code segment works as intended is x >= 10.

The code segment is intended to store the sum of all multiples of 10 between 10 and 100, inclusive. The value of x starts at 100 and is decremented by 10 on each iteration of the loop, until it reaches 10. The sum of all the multiples of 10 between 10 and 100 is stored in the variable total.

The missing code in the while statement determines when the loop will stop. If we use x >= 10 as a replacement for / missing code /, the loop will run as long as x is greater than or equal to 10. When x reaches 10, the loop will stop.

Here's the complete code:

int x = 100;

int total = 0;

while(x >= 10)

{

   total = total + x;

   x = x - 10;

}

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Your question is incomplete but probably the complete question is:

Consider the following code segment, which is intended to store the sum of all multiples of 10 between 10 and 100, inclusive (10 + 20 + ... + 100), in the variable total.

int x = 100;

int total = 0;

while( / missing code / )

{

total = total + x;

x = x - 10;

}

Which of the following can be used as a replacement for / missing code / so that the code segment works as intended?

A x < 100

B x <= 100

C x > 10

D x >= 10

E x != 10

Answer:

(2,4)

Step-by-step explanation:

y=2x, x=-y+6

x=-y+6 ----> y = -x + 6

Now we have:

y = -x + 6

y = 2x

Now, we can set these equations to be equal to each other:

2x = -x + 6

3x = 6

x = 2

To find y, we can just substitue x into one of the originial equations:

y = 2x

y = 2(2)

y=4

Therefore, the answer to this system is (2,4).

Hope this helped!

The correct answer is A. 1.5 cups

Explanation:

The total of polishing wooden furniture is equivalent to the total of olive oil plus the total of lemon juice. Additionally, in this case, the result should be given in cups. First, let's consider the values given.

50% of a cup of lemon juice + 25% of a quart with olive oil

The first quantity 50% of a cup of lemon indicates half cup of lemon was added, which is equivalent to 0.5 cups as 1 cup = 100% of a cup and 50% is the half.

Now, the second quantity is provided in quarts, which is not the same as a cup. Indeed 1 quart is equivalent to 4 cups, which represents 100%. This means 100% = 4 cups. Now, to calculate the 25% follow this procedure.

1. Write the values

4  =  100 (total  percentage)

x =    25 (percentage to be calculated

2. Solve this by using cross multiplication

x100 = 4 × 25

x100 = 100

x = 100 ÷ 100

x = 1 (cups in 25%)

This means 1 cup of olive oil was added and this plus 0.5 cup of lemon juice is equivalent to 1.5 cups of solution.

Answer: The surface area of the rectangular prism is approximately 4 square yards.

Step-by-step explanation: Given that the volume of the rectangular prism is 160 cubic yards, we can find the dimensions of the prism using the formula:

V = lwh

where V is the volume, l is the length, w is the width, and h is the height.

So, we have:

160 = lwh

Now, we need to find two other measurements in order to calculate the surface area of the rectangular prism. However, we do not have enough information to find all three dimensions. Therefore, we will assume one dimension and find the other two.

Let's assume that the height of the rectangular prism is 10 yards. Then, we can rearrange the formula for the volume to solve for the product of the length and width:

lw = V/h = 160/10 = 16

Now, we have two equations:

lw = 16

wh = 160/10 = 16

Solving for w in the first equation, we get:

w = 16/l

Substituting this expression for w in the second equation, we get:

l(16/l)h = 16

Simplifying, we get:

h = 1

Therefore, the dimensions of the rectangular prism are:

length = l

width = 16/l

height = 10

Now, we can calculate the surface area of the rectangular prism using the formula:

SA = 2lw + 2lh + 2wh

Substituting the values we found, we get:

SA = 2(l(16/l)) + 2(l(10)) + 2((16/l)(10))

SA = 32/l + 20l + 160/l

To find the minimum value of this expression, we can take its derivative with respect to l and set it equal to zero:

dSA/dl = -32/l^2 + 20 + (-160/l^2)

0 = -32/l^2 + 20 - 160/l^2

52/l^2 = 20

l^2 = 52/20

l ≈ 1.44

Substituting this value of l back into the expression for SA, we get:

SA ≈ 4 square yards

Therefore, the surface area of the rectangular prism is approximately 4 square yards.

Answer:

y≤2x-1

Step-by-step explanation:

The sign mean less than or equal to

One yoga class: $8

Monthly pass: $48

Let represent the number of yoga classes with the variable "x".

So:

8x = total cost of "x" yoga classes

8x < 48

x<48/8

x<6

You can buy 6 classes before it's cheaper to buy the monthly pass.

Is it cheaper to pay by the class for 10 classes?

Replace x=10, in 8x

8(10)=80

80 >48

NO, it's not cheaper to pay by the class for 10 classes.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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