6+
Зу + 4 < 6
helppppppppp

The work done in hoisting a 1,400-lb grand piano from the ground up to the third floor, which is 30 feet above the ground, is 42,000 ft-lb.

To calculate the work done, we can use the formula:

\(\[\text{{Work}} = \text{{Force}} \times \text{{Distance}}\]\)

In this case, the force is equal to the weight of the piano, which is given as 1,400 lb. The distance is the height that the piano is lifted, which is 30 ft. Therefore, we can calculate the work done as follows:

\(\[\text{{Work}} = \text{{Force}} \times \text{{Distance}} = 1,400 \, \text{lb} \times 30 \, \text{ft} = 42,000 \, \text{ft-lb}\]\)

So, the work done in hoisting the grand piano from the ground up to the third floor is 42,000 ft-lb.

To learn more about work done refer:

https://brainly.com/question/30257290

#SPJ11

Answer:

\(\angle FMG=60^{\circ}\)

Step-by-step explanation:

Given: \(\angle EMG=120^{\circ}\,,\,\angle EMF=60^{\circ}\)

To find: \(\angle FMG\)

Solution:

A trapezoid is a quadrilateral in which one pair of opposite sides is parallel. A trapezoid in which opposite angles are supplementary is known as an isosceles trapezoid. In any isosceles trapezoid, two opposite sides are parallel, and the two other sides are equal to each other.

Consider the figure:

\(\angle FMG=\angle EMG-\angle EMF\\=120^{\circ}-60^{\circ}\\=60^{\circ}\)

μ1 <= μ2,

 mean score on campus 1 is higher than on campus 2

There is also a competing theory put forth by the researcher, according to which test results are unrelated and the advanced learning program has minimal bearing on students' academic performance. Because the researcher wants to know if the scores are greater or lower than the state average, this is an illustration of a two-sided hypothesis.

 μ1 <= μ2,

 mean score on campus 1 is higher than on campus 2.

Because the researcher wants to know if the scores are greater or lower       than the state average, this is an illustration of a two-sided hypothesis.

To know more about alternative hypothesis, visit:

https://brainly.com/question/27335001

#SPJ4

Answer:

1) a 2) b

Step-by-step explanation:

The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data

The answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.

In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.

Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.

Learn more about median on

https://brainly.com/question/14532771

#SPJ1

The probability that neither roll is odd is 1/4.

When a pair of dice are rolled, each die can show an odd or even number, and there are a total of 36 possible outcomes (6 x 6) since each die has six possible outcomes.

There are 18 combinations of two dice that do not include an odd number (even-even), and so the probability of rolling an even number is 18/36  = 1/2.

Each die has the same probability of rolling an even or odd number, and so the probability of rolling an even number twice in a row (neither roll is odd) is

\((1/2)^2\) = 1/4.

Therefore, the probability of rolling a six-sided die twice in a row and not getting an odd number is 1/4 (25%).

Let E be the event of rolling an even number, and N be the event of rolling a number.

We need to find P(N'∩N')

i.e. the probability that the first roll is even and the second roll is even.

P(N') = 3/6P(N'∩N')

= P(N') * P(N')

= 3/6 x 3/6

= 9/36

= 1/4

For similar question on probability

https://brainly.com/question/24756209

#SPJ11

The possible change in volume (in mm3) resulting from the error in measuring the radius is 32. 06 mm³

Given,

A spherical golf ball is measured to have a radius of $$5 mm, with a possible measurement error of $$0.1 mm

How to determine the volume

The formula for volume of a sphere is expressed by;

Volume = 4/3 πr³

Where;

r is the radius of the sphere

pi takes the value 3.14

From the information given, we have that the measured radius is 5 mm, with a possible measurement error of 0.1 mm

Then, radius  a = 5mm

Radius b = 5 + 0. 1 = 5. 01mm

Now, substitute the values into the formula

Volume, v = 4/ 3 (3.14)(5)³

v = 4/ 3 (392.5)

v = 523. 3 mm³

For radius of 5.01mm

Volume =  4/ 3 (3.14)(5.1)³

expand the bracket

Volume = 4/3 (416.52)

Volume = 555. 4 mm³

The change in volume = 555. 4 - 523. 3 = 32. 06 mm³

Hence, the change in volume is 32. 06 mm³

Learn more about Sphere's Volume at:

https://brainly.com/question/9994313

#SPJ4

Answer:

Step-by-step explanation:

In order to turn a proper fraction into an improper fraction you have to multiply your constant number by the denominator then add your numerator.

Example with names:

constant \(\frac{numerator}{denominator\\}\)

Constant times denominator

sum of constant times denominator plus the numerator

answer/ denominator

Our Problem:

7 4/5

7 times 5= 35

35+4= 39

39/5

The following is an assembly program that calculates the value of the given polynomial, assuming signed integers x and y are stored in register r2 and r3, respectively.

\(```.LIST.ALIGN 4    .GLOBAL _start_start:    PUSH {R4, R5, LR}\)
   \(MOV R4, R2        // R4 < - x    MOV R5, #2        // R5 < - 2\)\(MUL R4, R4, R4    // R4 < - x^2    MUL R4, R4, R5    // R4 < - 2x^2    MOV R5, #3        // R5 < - 3\)
  \(ADD R4, R4, R5, LSL #16    // R4 < - 2x^2 + 3x^2    MOV R5, #5        // R5 < - 5    MUL R5, R5, R2    // R5 < - 5x\)
  \(SUB R4, R4, R5, LSL #16    // R4 < - 2x^2 + 3x^2 - 5x    MOV R5, #11       // R5 < - 11    SUB R4, R4, R5, LSL #16    // R4 < - 2x^2 + 3x^2 - 5x - 11\)
  \(MOV R3, R4        // R3 < - y    POP {R4, R5, PC}.END```\)

Explanation: The polynomial is given as

\(`y = 2x^4 + 3x^2 - 5x - 11`.\)

To calculate this polynomial in assembly language, we need to perform the following steps:

Load the value of `x` into a register. We assume that `x` is stored in register `r2`.

Calculate \(`2x^2`\) and add \(`3x^2`\) to it. We first square the value of `x` by multiplying it with itself and then multiply it with `2`. We then add \(`3x^2`\) to this result. We store this result in register `r4`.

Calculate `5x` and subtract it from the result of step 2. We first multiply the value of `x` with `5` and then subtract it from the result of step 2. We store this result in register `r4`.

Subtract `11` from the result of step 3. We subtract `11` from the result of step 3 and store this result in register `r4`.

Load the value of `y` into a register. We assume that `y` is stored in register `r3`.

Return from the subroutine. We pop the registers from the stack and return from the subroutine.

The assembly program that is used to calculate the value of a given polynomial assuming signed integers x and y are stored in registers r2 and r3, respectively. The polynomial given is\(y = 2x4 + 3x² - 5x - 11\). In this assembly program, we load the value of x into a register, calculate 2x^2, add 3x^2 to it, subtract 5x from the result, and subtract 11 from the final result. The value of y is then stored in a register, and we return from the subroutine.

This assembly program is designed for 32-bit ARM architecture, and it can be run on any ARM processor. The program is written in ARM assembly language, which is a low-level programming language used to write programs that run on ARM processors. It is a complex language that requires a deep understanding of the processor architecture and instruction set.

In conclusion, the assembly program presented here can be used to calculate the value of a given polynomial using signed integers x and y stored in registers r2 and r3, respectively. This program can be adapted to calculate other polynomials or perform other arithmetic operations on ARM processors. It is a powerful tool for low-level programming and optimization, but it requires a significant amount of expertise to write and debug.

To know more about polynomial visit:

brainly.com/question/11536910

#SPJ11

The probability of a random sample of parts produced by this machine being exactly defective = 0.15

Step-by-step explanation:

Let the percentage of defective part be 12%

and the sample be out of 7 , 2 are defective.

P(X=x) = (e-λ λ x)/ x!   [ poisson distribution]

Since, 12%  defective parts is produced by one of the machines of the time.

μ= (12%×7)= 0.84

the number of defective product =2

Therefore ,

P(X=2) = 0.15

Thus the required probability becomes 0.15

In Statistics, Poisson distribution is one of the important topics. It is used for calculating the possibilities for an event with the average rate of value. Poisson distribution is a discrete probability distribution.

To learn more about Poisson distribution

https://brainly.com/question/24327826

#SPJ4

Therefore , the distance travelled by the 2kg block is 281.25m  and the energy of the block earth is  14.0625 J

It can push or pull. Acceleration is caused by unbalanced forces.

The Newton is the symbol for a force (abbreviation is N).The force required to cause a mass of one kilogramme to alter its velocity by one metre per second (m/s) per second is one Newton. The formula is: 1 N = 1 kg m/s2 (kilogram metre per second squared)

Here,

Let s represent the block's total distance travelled.

As a result, the block's work will be equal to the potential energy contained in the spring.

It is given as,

(mgsinθ)×s= 1/2 k\(x^{2}\)

( √2​ ×10×sin45 ∘ )×s= 1/2​ ×100 x (0.75*0.75)

s=281 . 25m

Thus, the distance travelled by the block is 281 . 25m.

For energy :

=> 1/2 m v^2

=>  1/2 * 2* (3.75)^2

=> 14.0625  J

Therefore , the distance travelled by the 2kg block is 281.25m  and the energy of the block earth is  14.0625 J

To know more about Force , visit

https://brainly.com/question/2193360

#SPJ4

The distance travelled by the 2kg block is 281.25m  and the energy of the block earth is  14.0625 J

When an object is moved over a distance by an external force, at least a portion of that force must be applied in the direction of the displacement. This is known as work in physics.

The ability to exert a force that causes an item to move is what is meant by the definition of energy as the "power to accomplish work."

Let s= total distance travelled by block.

Therefore, the block's work will be equal to the spring's potential energy.

According to given information,

(mgsinθ)×s= 1/2 k

( √2​ ×10×sin45  )×s= 1/2​ ×100 x (0.75*0.75)

s=281 .25m

Therefore, the distance travelled by the block is 281 . 25m.

For energy we have:

=> E= 1/2 m v^2

=>  E= 1/2 * 2* (3.75)^2

=>E= 14.0625  J

So , the distance travelled by the 2kg block is 281.25m  and the energy of the block earth is  14.0625 J.

To learn more about work visit the link:

https://brainly.com/question/25573309

#SPJ4

Step-by-step explanation:

use calculator , it might be helpful

From the given integer numbers, the states that have temperatures within 10ºC of Delaware are: California, Hawaii and Idaho.

The temperature in Delaware is of 5 ºC, hence for our range, we have that:

Alaska(< -5), Tennessee(>15) and WV(<-5) do not have temperatures in this range, hence the states that have temperatures within 10ºC of Delaware are: California, Hawaii and Idaho.

More can be learned about integer numbers at https://brainly.com/question/17405059

#SPJ1

Answer:

C

Step-by-step explanation:

Answer:

C     (20.25)

Step-by-step explanation:

Formula = A=\(\frac{c^2}{4\pi }\)

A=\(\frac{9^2}{4\pi }\)

A=81/4pi

Area=20.25\(\pi\) meters

The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.

According to the statement

we have to find that the rational numbers.

So, For this purpose, we know that the

Rational number, a number that can be represented as the quotient p/q of two integers such that q ≠ 0.

From the given information:

The given numbers are between -1/2 and 4/7

Then to find the numbers then

Rational numbers = (-1/2 +4/7) /2

Rational numbers = (-1 +2/7)

Rational numbers = -5/7.

And then the number becomes -6/7, 2/7,3/7.

Now, The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.

So, The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.

Learn more about rational numbers here

https://brainly.com/question/12088221

#SPJ9

The algebraic proof confirms Ayana's conjecture that the sum of two odd integers is an even integer.

To algebraic proof that the sum of two odd integers is an even integer,  use the definition of an odd integer and an even integer and perform algebraic operations.

Let's assume that m and n are two odd integers. According to the definition of an odd integer, express m and n as:

m = 2k + 1, where k is an integer (1)

n = 2l + 1, where l is an integer (2)

To prove that the sum of two odd integers is an even integer, we need to show that their sum expressed in the form of 2s, where s is an integer.

Now, let's add equations (1) and (2):

m + n = (2k + 1) + (2l + 1)

= 2k + 2l + 2

= 2(k + l + 1)

rewrite the sum as 2(k + l + 1), where (k + l + 1) is an integer. Let's denote this integer as s, so we have:

m + n = 2s

Since the sum of m and n expressed as 2s, where s is an integer,  shown that the sum of two odd integers is an even integer.

To know more about integers here

https://brainly.com/question/33503847

#SPJ4

Answer:

19

Step-by-step explanation:

37/3= 12. something

12+7+19

s = 7 1/7 and t = 6 3/7. solve for s-t.

we have

7 1/7-6 3/7

7 1/7=50/7

6 3/7=45/7

substitute

50/7-45/7=5/7

Answer:

1 granola bar =

Step-by-step explanation:

10 granola bars= $4.00 x 2 = $8.00

15 granola bars=$4.00 x 3 = $12.00

20 granola bars=$4.00 x 4 = $16.00

1 granola bar = $0.80p

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.

To know more about positive numbers:

https://brainly.com/question/1635103

#SPJ4

Given:

The dimensions of base are 5 cm and 5cm.

The height of the pyramid is 3 cm.

To find:

The volume of the pyramid.

Solution:

The volume of a pyramid is:

\(V=\dfrac{1}{3}Bh\)                ...(i)

Where, B is the base area and h is the height of the pyramid.

The base area of the given pyramid is:

\(B=length \times width\)

\(B=5 \times 5\)

\(B=25\)

Substituting \(B=25\) and \(h=3\) in (i), we get

\(V=\dfrac{1}{3}(25)(3)\)

\(V=25\)

Therefore, the volume of the given pyramid is 25 cm³. Hence, the correct option is A.

Answer:

(-4, 5)

Step-by-step explanation:

Hi there!
We are given the following system:
x+11y=51

3x+5y=13
And we want to solve it by substitution.
When we solve a system by substitution, we want to solve one of the equations for a variable; the variable should equal an expression containing the other variable. Then, we substitute that expression into the other equation as the variable we solve for, solve for that variable, and then use the value of the solve variable to find the value of the first variable

It's easier to solve for a variable if the leading coefficient in front of that variable is 1, like with x in the first equation (x+11y=51)
To solve this equation for x, we can subtract 11y from both sides.

x+11y=51

  -11y   -11y

_____________
x=51-11y
Now substitute 51-11y as x in 3x+5y=13:

3(51-11y)+5y=13

Multiply

153-33y+5y=13

Combine like terms.

153-28y=13

Subtract 153 from both sides

-28y=-140

Divide both sides by 28

y=5
Now substitute 5 as y in 51-11y to solve for x.

x=51-11y

x=51-11(5)
multiply

x=51-55

Subtract

x=-4

The answer is x=-4, y=5, or as a point, (-4, 5)
Hope this helps!

See more on solving systems of equations by substitution here: https://brainly.com/question/26578968

Answer:

the answer y=2x-1

Step-by-step explanation:

since the gradients of equations that are parallel are the same the equation is y=2x + something. we get the something by using substitution.

The 4 is the x and the 7 is the y value.

c will be the something

so it will be 7=2(4)+ C

7=8+C

7-8=c

-1=C

Answer:

y = -1/3x + 1/3

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals.

The given line is

y = 3x - 1

This equation is written in the slope-intercept form, y = mx + b, where m is the slope.

slope of given line = m = 3

slope of perpendicular line = -1/3

Now we need the equation of the line with slope -1/3 that passes through the point (-8, 3)

y = mx + b

y = -1/3x + b

3 = (-1/3)(-8) + b

3 = 8/3 + b

9/3 = 8/3 + b

b = 1/3

y = -1/3x + b

y = -1/3x + 1/3

The value of cos2x when sine of x equals negative 15 over 17 and cos x > 0 is -161/289.

The ratio of the neighboring side's length to the longest side, or hypotenuse, in a right triangle is known as the cosine. Let's say that the hypotenuse of a triangle ABC is written as AB, and the angle between the hypotenuse and base is written as.

It's interesting to see that cos's value varies depending on the quadrant. As observed in the above table, cos 0°, 30°, etc. have positive values while cos 120°, 150°, and 180° have negative values. Cos will have a good value in the first and fourth quadrants.

Given that, sin x equals negative 15 over 17.

Using the Pythagoras theorem we have:

(17)² = (- 15)² + y²

y = 8

The value of cos x = 8/17

Then the value of cos2(x) is calculated using the formula:

cos2x = cos²x - sin²x

cos2x = (8/17)² - (15/17)²

cos2x = -161/289

Hence, the value of cos2x when sine of x equals negative 15 over 17 and cos x > 0 is -161/289.

Learn more a cosine function here:

https://brainly.com/question/29277391

#SPJ1

In the given scenario, the line of best fit would indicate the relation between the distance covered in feet and the distance covered in meters in long jump. Question: Connections could make the record 28 feet or \(8.5344\) meters. Beamon's jump obliterated that by jumping over the 28-foot range to over 29 feet!

Your question here, what would the line of best fit? Long Jump: Long jump is a track and field event where the athlete runs down a runway and jumps as far as possible into a sandpit from a wooden takeoff board. The athlete's performance is measured from the edge of the takeoff board to the closest mark in the sand made by any part of their body.

The Line of Best Fit: The line of best fit is a straight line drawn through the center of a group of data points plotted on a scatter plot. The line of best fit is used to show the relationship between two sets of data, such as distance covered in feet and meters in long jump. The best fit line in this case would be a straight line passing through the scatter plot of the points representing the distance covered in feet and meters during a long jump.

To know more about distance visit:

https://brainly.com/question/13034462

#SPJ11

Answer:

hi there the answer is d 296.73

Step-by-step explanation:

A=2πd

2h+2π(d

2)2=2·π·9

2·6+2·π·(9

2)2≈296.88051in²

Answer:

i got 169.56

Step-by-step explanation:

The probability that the proportion of overweight or obese children in the sample will be greater than 0.57 is less than 50%.

The first paragraph summarizes the answer, stating that the probability is less than 50% because 0.57 is less than the population proportion of 0.60, and the sampling distribution is approximately normal.

In the second paragraph, we can explain the reasoning behind this conclusion. The Central Limit Theorem states that for a large sample size, the sampling distribution of the sample proportion will be approximately normal, regardless of the shape of the population distribution. In this case, the sample was taken in a way that meets the conditions for using the Central Limit Theorem.

Since the population proportion of overweight or obese children is 0.60, any sample proportion below this value is more likely to occur. Therefore, the probability of obtaining a sample proportion greater than 0.57 would be less than 50%. This is because the resulting z-score, which measures how many standard deviations the sample proportion is away from the population proportion, would be negative.

To summarize, the probability of the proportion of overweight or obese children in the sample being greater than 0.57 is less than 50% because 0.57 is less than the population proportion of 0.60, and the sampling distribution is approximately normal.

To learn more about probability click here, brainly.com/question/31828911

#SPJ11

Answer:

slope is \(-\frac{1}{2}\)