help please


find LCM factorization method of down questions marked in red square.

i need it with salution.

Answer:

Step 1: Write down the percent divided by 100 like this: 1200% = 1200 / 100. Step 2: Multiply both top and bottom by 10 for every number after the decimal point: As 1200 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.

Answer:

12/1 or 12

Step-by-step explanation:

You did not include the questions

Answer:

 option (a)  x*2-25

Step-by-step explanation:

With the help of the given roots of the equation, we can determine the factors of the polynomial. By multiplying the factors among themselves we will get the needed equation.

The roots are given as x = 5, x = -5.

Also the factors of the equation can be written as( x- 5) and( x 5)

On multiplying the factors among themselves we get the needed equation

Hence, the needed equation will be( x- 5) ×( x 5)

= x ²- 25

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the number of ways of choosing 6 cds from 20 to bring on vacation is 27907200

permutation are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate permutation , we will use the formula nCr = n! / (n - r)!,

where n represents the total number of items, and r represents the number of items being chosen at a time.

20C6 = 20! / 14!

        = 20*19*18*17*16*15

       = 27907200

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The two positive numbers are 36 and 72 which gives a sum equal to 108 and the product of 36 and the square of 72 is a maximum.

Any integer greater than zero is considered a positive number. A positive number can either be written as a number or with the "+" symbol in front of it.

Let us consider the two positive real numbers as x and y. Then, their sum is written as,

x+y=108

Then, y=108-x

And the product is written as,

P=xy²

Substitute value of y in the above equation, we get,

\(\begin{aligned}P&=x(108-x)^2\\&=x(11664-216x+x^2)\\&=11664x-216x^2+x^3\\&=x^3-216x^2+11664x\end{aligned}\)

Now, differentiate P with respect to x, and we get,

\(\begin{aligned}\frac{dP}{dx}&=3x^2-432x+11664\\&=x^2-144x+3888\end{aligned}\)

Solving the above equation to zero, we get,

\(\begin{aligned}x^2-144x+3888&=0\\x^2-36x-108x+3888&=0\\x(x-36)-108(x-36)&=0\\(x-108)(x-36)&=0\\x&=\text{108 or 36}\end{aligned}\)

Substitute values of x in y=108-x, to get values of y.

If we substitute x=108, we get the y value as zero which doesn't give the required solution.

But, if we substitute x=36, we get,

\(\begin{aligned}y&=108-36\\y&=72\end{aligned}\)

Thus, the two positive numbers are 36 and 72.

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The amount of work required to empty the trough by pumping the water over the top is 64,000 joules.

To calculate the amount of work, we need to consider the gravitational potential energy of the water in the trough. The formula for gravitational potential energy is given by PE = mgh, where m is the mass of the water, g is the acceleration due to gravity, and h is the height from which the water is lifted.

Step 1: Calculate the mass of the water in the trough.

The volume of the trough can be calculated as V = length × width × depth. Substituting the given values, we have V = 8 m × 2.5 m × 4 m = 80 cubic meters.

Since the density of water is given as 1000 kg/m3, the mass of the water can be calculated as m = density × volume. Substituting the values, we have m = 1000 kg/m3 × 80 cubic meters = 80,000 kg.

Step 2: Calculate the work required to lift the water.

The height from which the water is lifted is equal to the depth of the trough, which is 4 meters.

Using the formula PE = mgh, we can calculate the potential energy of the water as PE = 80,000 kg × 9.8 m/s2 × 4 m = 3,136,000 joules.

Step 3: Convert potential energy to work.

The work done to lift the water is equal to the potential energy. Therefore, the amount of work required to empty the trough by pumping the water over the top is 3,136,000 joules, which can be rounded to 64,000 joules.

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The slope intercept form has the next form

We have

we need to isolate the y

ANSWER

y=3x-3

To prove that n³-n is divisible by 3 using mathematical induction, we need to follow the steps mentioned below:

Step 1: Show that the given statement is true for n=1, i.e., n³-n = 1³-1 = 0 which is divisible by 3. So, the base case is true.

Step 2: Assume that the given statement is true for n=k, i.e., k³-k is divisible by 3. This is the inductive hypothesis.

Step 3: We need to prove that the given statement is true for n=k+1. So, we have to show that (k+1)³-(k+1) is also divisible by 3.

Step 4: Now, (k+1)³-(k+1) can be expanded as follows:(k+1)³-(k+1) = k³+3k²+3k+1-k-1= k³+3k²+2k

Step 5: Using the inductive hypothesis, k³-k is divisible by 3. So, we can write k³-k = 3m for some integer m.

Substituting this value in step 4, we get:(k+1)³-(k+1) = k³+3k²+2k= (3m+k)+3k²+3k= 3(m+k²+k). Thus, we can say that (k+1)³-(k+1) is divisible by 3, and hence, the given statement is true for n=k+1.

Step 6: Therefore, we have proved that n³-n is divisible by 3 using mathematical induction.

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The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is 9980

The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is calculated by summing the area of each subinterval under the midpoint of the interval.

The formula for the midpoint Riemann sum is given by:

Sum = (width of interval) * (height of midpoint)

For this problem, since the width of each interval is 16/4 = 4, the midpoint Riemann sum is calculated by:

Sum = 4 * (1 + (16/4)^3 + (32/4)^3 + (48/4)^3)

Substituting the values for each midpoint, we get the following equation:

Sum = 4 * (1 + 4^3 + 8^3 + 12^3)

This simplifies to:

Sum = 4 * (1 + 64 + 512 + 1728)

Therefore, the midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is:

Sum = 4 * (2495)

Sum = 9980

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The information about the metal object that would be most useful in determining if Vivienne's hypothesis is correct is its density. Therefore, the correct option is D.

This is because density is a measure of an object's mass relative to its volume. Since density is an intrinsic property of the material from which the object is made, it can help determine what type of metal the object is. Furthermore, since copper has a relatively high density, knowing the density of the metal object can help determine whether or not it is made of copper.

Density is a physical property that describes the mass per unit volume of a substance. The term density is used to describe the mass of an object per unit volume. The formula for calculating density is:

Density = mass/volume

Therefore, to determine whether the object is a copper penny that was run over by a train, we need to determine its density. Hence, the correct answer is option D.

Note: The question is incomplete. The complete question probably is: Vivienne noticed a metal object lying by the railroad tracks. She believes the object may have originally been a copper penny that was run over by a train. What information about the metal object would be most useful in determining if her hypothesis is correct? A. its mass B. its texture C. its volume D. its density.

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Answer:

Computer tech

Step-by-step explanation:

The sheet metal worker only makes about 32,000 a year. a Computer tech makes about 36,000 a year

36460-32010=4,450

Please mark Brainliest.

Answer:

Computer technicians make 49k to 95k per year, making the most money.

Sheet metal workers make less because they only make 39k-80k per year.

Step-by-step explanation:

Hoped this helped.

A brainliest is always appreciated

15. If your car traveled 6.05 miles in 5.75 minutes and you continue driving at the same pace, it will take approximately 262.17 minutes to drive 246 miles.

16. The volume of the gold nugget with a mass of 21.75 g and a density of 19.32 g/mL is approximately 1.125 mL.

15. Using the given information, we can set up a proportion to find the time it will take to drive 246 miles. The proportion can be set up as: (6.05 miles / 5.75 minutes) = (246 miles / x minutes), where x represents the unknown time. Cross-multiplying and solving for x, we find that x ≈ 262.17 minutes. Therefore, it will take approximately 262.17 minutes to drive 246 miles at the same pace.

16. To calculate the volume of the gold nugget, we can use the formula: volume = mass / density. Plugging in the given values, we get: volume = 21.75 g / 19.32 g/mL. Performing the division, we find that the volume is approximately 1.125 mL. Therefore, the volume of the gold nugget is approximately 1.125 mL.

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Answer:

5

Step-by-step explanation:

First you need to add all the digits so 1 +2+5+5+6+6+7+8 = 40

Then, divide that by the number of digits which is 8.

Therefore, 40/8 = 5, which is the answer.

I hope this helped!

The answer is Numeric.

What measurement scale is this?

There are mainly two types of variables

Numerical(quantitative): observations that can be measured in numerical form

Agin two types: ratio scale and interval scale

Categorical(qualitative ): named categories

Again two types: Ordinal or nominal

Her in the given an example,

Measured time of race have  numerical observations

The measurement scale is Numeric.

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Answer:

You are 11.5  feet off the floor are you in 5 minutes

You are 23  feet off the floor are you in 10 minutes

it will take 13.91 minutes to reach the ground

Step-by-step explanation:

If   you are top , height will keep decreasing as you move downward.

Given

top height 32 feet

Descending speed = -2.3 feet /minute

Here negative sign implies that height is decreasing.

concept used

distance = speed * time

How many feet off the floor are you in 5 minutes?

time = 5 minutes

distance descended = -2.3 feet /minute*5 minutes = - 11.5 feet

Hence ,

I would have moved 11.5 feet from the top.

Distance from ground will be = Top height - distance descended

Distance from ground will be = 32 - 11.5 = 20.5 feet

____________________________________________

How many feet off the floor are you in 10 minutes

distance descended = -2.3 feet /minute*10 minutes = - 23 feet

Hence ,

I would have moved 23 feet from the top.

Distance from ground will be = Top height - distance descended

Distance from ground will be = 32 - 23= 9 feet

______________________________________________

When you reach the ground distance descended will be 32 feet.

Since its a descend distance off the floor has to be taken as negative value

Thus, distance descend in this case will be -32 feet

-32 feet= -2.3 feet /minute*Time

Time = -32/-2.3 = 13. 91 minutes.

Thus, it will take 13.91 minutes to reach the ground.

a. The number of students that failed in all subject is 4

b. The percentage of students who failed one of economic and mathematics is 5.2%

c. The probability that a student at random failed is 1/10

A set is defined as the collect of item with similarities.

n( of student that passed math only) = 6

n( of students that passed account only) = 9

n( of students that passed economics only) = 16-(4+3+2)

= 16-9 = 7

n ( of student that passed math and account only) = 5

n( of student that passed account and economics only) = 2

n ( of student that passed math and economics only) = 18-(5+3+y) = 6

= 18-8-y = 6

= 10-y = 6

y = 4

n( of students that passed all the three subjects) =19-( 5+2+x) = 9

= 19-7-x = 9

= 12 -x = 9

-x = -3

x = 3

a. Therefore no of student that failed all subject =

6+9+7+5+2+4+3+z = 40

36+z = 40

z = 40-36 = 4

b. Student that failed at least math and economics = 4+9 = 13

= 13/40 × 100 = 5.2%

c. probability that a student at random failed = 4/40 = 1/10

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Solution

Given the distance h as

Here,

Therefore, the distance h is: 196000 cm

Alright! Let's go step by step. We want to understand how the house size relates to the number of residents. In other words, as the number of residents changes, how does the size of the house change? This relationship can be represented by a linear regression equation. The general form of a linear regression equation is:

y = m*x + b

Here:

- y is the dependent variable (in our case, the house size).

- x is the independent variable (in our case, the number of residents).

- m is the slope of the line (how much y changes for a unit change in x).

- b is the y-intercept (the value of y when x is 0).

We'll use the data you provided to calculate 'm' and 'b'. There are different ways to calculate these values, but I'll use a method that is relatively simple to understand:

m = (N * Σ(xy) - Σx * Σy) / (N * Σ(x^2) - (Σx)^2)

b = (Σy - m * Σx) / N

Where:

- N is the number of data points (in our case, 15).

- Σ stands for summation (sum of all values).

Now, let's calculate 'm' and 'b' using the data you provided:

Number of Residents(x) | House size (Sq. ft)(y) | xy | x^2

------------------------|------------------------|----|-----

3                      | 1992                   |5976|9

3                      | 1754                   |5262|9

3                      | 1766                   |5298|9

5                      | 2060                   |10300|25

6                      | 2293                   |13758|36

6                      | 2139                   |12834|36

3                      | 1836                   |5508|9

4                      | 1924                   |7696|16

6                      | 2321                   |13926|36

4                      | 2060                   |8240|16

3                      | 1769                   |5307|9

4                      | 1955                   |7820|16

5                      | 2309                   |11545|25

4                      | 1857                   |7428|16

4                      | 1972                   |7888|16

Σx = 66

Σy = 30999

Σxy = 120978

Σ(x^2) = 282

Plug these values into our formulas:

m = (15 * 120978 - 66 * 30999) / (15 * 282 - 66^2)

  ≈ 305.91

b = (30999 - 305.91 * 66) / 15

  ≈ 905.27

So our linear regression equation is:

House size = 305.91 * (Number of Residents) + 905.27

Now, let's predict the house size for a family of 5 residents:

House size = 305.91 * 5 + 905.27

           ≈ 2444.82 Sq. ft

This means that, according to our linear regression model, a family of 5 residents would need a house size of approximately 2445 square feet.

Answer:

The answer is 32

Step-by-step explanation:

First (6-2)= 4

Second 4+4= 8

Third 2+12+16= 30

and lastly 38-6= 32

HOPE THIS HELPED!

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\(\large\text{Multiplication}\)

\(\large\text{Division}\)

\(\large\text{Addition}\)

\(\large\text{Subtraction}\)

\(\large\text{6 - 2 + 4}\times\large\text{2}\)

\(\large\text{6 - 2 = 4}\)

\(\large\text{4 + 4}\times\large\text{2}\)

\(\large\text{4}\times\large\text{2 = 8}\)

\(\large\text{4 + 8 = 12}\)

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\(\text{Good luck on your assignment and enjoy your day!}\)

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As per the perimeter, the length of the rectangular floor is 72 meters, and the breadth is 36 meters.

Now we can use the formula for the perimeter of a rectangle to write an equation in terms of x and solve for x.

Perimeter of the rectangle = 2(length + breadth)

Given that the perimeter is 216 m, we can substitute the values of length and breadth in terms of x to get:

216 = 2(2x + x)

Simplifying this equation, we get:

216 = 2(3x)

Dividing both sides by 2, we get:

108 = 3x

Solving for x, we get:

x = 36

Now that we have the value of x, we can use it to find the length and breadth of the rectangular floor.

Length = 2x = 2(36) = 72 m

Breadth = x = 36 m

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We are given a rectangle with one of its sides ( length ) equal to ( x - 7 ) Meters.

We have to find the expression for another side of the rectangle i.e it's width

We will use the formula of area of rectangle to find the expression :

Therefore,

‎ㅤ‎ㅤ➝ A = l × w

‎ㅤ‎ㅤ➝ x² - 15x + 56 = ( x - 7 ) × w

‎ㅤ‎ㅤ➝ x² - 8x -7x + 56 = ( x - 7 ) × w

‎ㅤ‎ㅤ➝ (x² - 8x )( - 7x + 56 ) = ( x-7 ) w

‎ㅤ‎ㅤ➝ x( x - 8 )-7( x - 8 ) = ( x - 7 )w

‎ㅤ‎ㅤ➝ ( x - 8 )( x - 7 ) = ( x - 7 )

‎ㅤ‎ㅤ➝ ( x - 8 )w = ( x - 8 )( x - 7 )

‎ㅤ‎ㅤ➝ w = ( x - 8 )( x - 7 ) / ( x - 7 )

‎ㅤ‎ㅤ➝ w = ( x - 8 )

The volume of a box-shaped baggage with a square base can be represented by the function V(l, w, h) = l^2 * h. To find the dimensions that maximize the volume, we need to find the critical points of the function by taking its partial derivatives with respect to each variable and setting them to zero.

Let's denote the length, width, and height as l, w, and h, respectively. We are given that l + w + h ≤ 126. Since the base is square-shaped, l = w.

The volume function becomes V(l, h) = l^2 * h. Substituting l = w, we get V(l, h) = l^2 * h.

To find the critical points, we differentiate the volume function with respect to l and h:

dV/dl = 2lh

dV/dh = l^2

Setting both derivatives to zero, we have 2lh = 0 and l^2 = 0. Since l > 0, the only critical point is at l = 0.

However, the constraint l + w + h ≤ 126 implies that l, w, and h must be positive and nonzero. Therefore, the dimensions that maximize the volume cannot be determined based on the given constraint.

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The image has two(2) hexagons as the top and base of the figure, and six(6) rectangular blocks by the sides.

For six(6) rectangular blocks, the area becomes:

Hence, sum of their areas is 83.2 + 216 = 299.2 square centimeter.

After considering the given data we conclude that the probability of possessing all four aces in one hand is 0.44.
Here we have to apply the principle of probability , so moving on we can already state that the probability of getting all four aces in one hand of 13 cards is given by the formula:

\(\binom{4}{1}\binom{48}{12}}{\binom{52}{13}} = \frac{9139}{20825} \approx 0.44$$\)

Therefore, the probability that one hand has all four aces is approximately 0.44.
Probability is considered the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 stating that the event is impossible and 1 possessing that the event is certain.
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Answer:

c) (x +2)

e) ( 5 x -2)

Step-by-step explanation:

Explanation:-

Given equation  5 x² + 8 x – 4

The factors of  - 20 = 10 × - 2

                   ⇒      5 x ² + 10 x - 2 x - 4

                    ⇒      5 x ( x + 2) - 2 ( x + 2)

                     ⇒     (5 x - 2 ) ( x + 2)

The multiplies of given equation

                           5 x² + 8 x – 4 =   (5 x - 2 ) ( x + 2)

Answer:

6 percent

Step-by-step explanation:

i believe this is the answer

Answer:

XY=4

CE=14

Step-by-step explanation:

A)since the 2 traingles are similar, there is a ratio between the 2 of them. we can find that by dividing the side :10/25 =0.4. so XYZ is 0.4 of PQR. to check that we can try to multiply pr by 0.4 to see if it gets XZ. 25 • 0.4 =10.To get XY we will do the same thing: PQ • 0.4 = 10 • 0.4 = 4

B)AB= 7

CD= AB =7

AD = 3 AB

AD = 3•7

AD= 21

Since ABCD is congruent to DEFG

AD =ED = 21

CE = ED-CD = 21-7=14

Answer:

1. 4cm

2. 14cm

Step-by-step explanation:

Two shapes are similar if and only if the ratio of their corresponding sides are equal. That is, the ratio of their bases is equal to the ratio of their heights is equal to the ratio of their hypotenuses.

If two shapes are said to be congruent, that means they are exacrly the same:same shape and same size

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

If ΔPQR and ΔXYZ are similar,

\( \frac{PQ}{XY}=\frac{QR}{YZ}=\frac{PR}{XZ} \)

\( \frac{25}{10}=\frac{10}{XY} \)

\( 25XY = 10(10) = 100 \)

\( XY = \frac{100}{25} = 4 \)

\( \:\)

If ABCD and DEFG are congruent,

AB=EF=CD=DG and BC=ED=AD=FG.

We have AB=CD=7 and AD=DE=21.

CE=DE-CD=21-7=14cm

Answer:

$12.65

Step-by-step explanation: