Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
(14+3)(2
x 6)

Answer:

9

Step-by-step explanation:

Since the absolute value of -9 is 9.

The equation of the line (y+10)=4(x−3)  or  y=4x−22

We can use the point-slope formula to find an equation for this line.

The point-slope formula states: \((y-y_{1} )=m(x-x_{1} )\)

Where m is the slope and \((x_{1}, y_{1} )\) is a point the line passes through.

Substituting the values from the problem gives:

(y − −10) = 4(x − 3)

(y + 10) = 4(x − 3)

To transform this into the more familiar slope-intercept form we can solve for y:

y + 10 = (4 × x) − (4 × 3)

y + 10 = 4x − 12

y + 10 − 10 = 4x − 12 − 10

y + 0 = 4x − 22

y = 4x − 22

Hence the answer is the equation of the line is (y+10) = 4(x−3)  or  y = 4x−22

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Answer:

B

Step-by-step explanation:

Answer:

C. 0.038

Step-by-step explanation:

If you divide 38 by one thousand, you get 38 thousandths as a decimal which is 0.038.

Hope this helps! :)

Factorial notation is used to represent the product of a series of descending positive integers, and is denoted by an exclamation mark.

For example, 5! represents 5 x 4 x 3 x 2 x 1, which equals 120. If the study involves counting the number of ways a certain group of items can be arranged, factorial notation may be used to express the total number of possible arrangements. However, without knowing the specifics of Dr. Elder's study, it is impossible to provide the correct factorial notation. Therefore, I would recommend providing more details about the study in order to receive a more accurate answer.

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Answer:

258cm

it is the vertex's hieght as well as the length of the sides to multiply together and also divide since there is 5 sides

Answer:

x = 17

Step-by-step explanation:

(17+1) 2 - 36 = 0

If you don't think this is right, you may clarify it by plugging it in and multiplying :) thank you for your time <3

Answer:

x=17

Step-by-step explanation:

The linearized equation around its equilibrium position is given as;f(x) = -4.8(x - 1.39)

The given equation is x² + 2x* + 2x² - 12x + 10 = 0.

It needs to be linearized around its equilibrium position.

Linearizing the given equation around its equilibrium position x0, we have;

f(x) = f(x0) + f'(x0)(x - x0)

Where f(x) = x² + 2x* + 2x² - 12x + 10

The equilibrium position is the point where f(x) = 0.

Hence, f(x0) = 0.

Thus, x² + 2x* + 2x² - 12x + 10 = 0⇒ 3x² - 6x = -10⇒ x² - 2x + (2.33) = 0(x-1)² = 0.77x - 0.77 or

x = 1 + (0.77)/(2) or x = 1.39

Hence, the equilibrium position x0 = 1.39.

Substitute x0 = 1.39 in the equation and simplify to get f'(x0):

f(x) = x² + 2x* + 2x² - 12x + 10

f(x) = 3.84 - 8.34 + 10

f'(x0) = f'(1.39) = -4.8

Therefore, the linearized equation around its equilibrium position is given as;f(x) = -4.8(x - 1.39)

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Answer:

C. Degree 5,leading coefficient 1

Step-by-step explanation:

Answer:

C is right on E2020

Step-by-step explanation:

The ordered pair that completes the table include the following:

z                \(\frac{2z}{3} +1\)

1                   5/3

2                  7/3

5                  13/3

11                  25/3

In order to use the given linear function to complete the table, we would have to substitute each of the values of z (z-values) into the linear function and then evaluate as follows;

When the value of x = 1, the linear function is given by;

y = 2z/3 + 1

y = 2(1)/3 + 1

y = 5/3.

When the value of x = 2, the linear function is given by;

y = 2z/3 + 1

y = 2(2)/3 + 1

y = 7/3.

When the value of x = 5, the linear function is given by;

y = 2z/3 + 1

y = 2(5)/3 + 1

y = 13/3.

When the value of x = 11, the linear function is given by;

y = 2z/3 + 1

y = 2(11)/3 + 1

y = 25/3.

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Angle ACD is congruent to angle ADC by transitive equality if angles 1 and 2 are both ACD because angle ACB is congruent to angle ADE in the step above. Therefore, angle 1 equals angle 2, as you can see.

An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.

Here,

Given that segments AB and AE are congruent, the triangle ABE is required to be isosceles by definition.

As a result, angle ABC must be similar to angle AED, again in accordance with the definition of an isosceles triangle.

Consequently, triangle ABC must be congruent to triangle AED by SAS as you have been informed that segments BC and DE are congruent. Right now, it's unclear to you whether angle 1 is ACB or ACD.

Assuming it is ACB, CPCT shows that ACB is congruent to ADE. Angle 1 equals angle 2, so there you have it. Since angle ACB is supplementary to angle ACD and angle ADE is supplementary to angle ADC.

Since angle ACB is congruent to angle ADE from the step above, angle ACD is congruent to angle ADC by transitive equality if angle 1 and angle 2 are both ACD. Angle 1 equals angle 2, so there you have it.

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Answer:

y=-2x+11

Step-by-step explanation:

y=mx+b

plug in y=5, x=3

5=3m+b

5-3m=b

y=mx+b

plug in y=-1, x=6

-1=6m+b

-1-6m=b

-1-6m=5-3m

-6m+3m=5+1

-3m=6

m=-2

plug in m=-2

-1=-12+b

b=11

According to the NIOSH guidelines, a lifting index (LI) value below 1 is considered acceptable, indicating a low risk of developing work-related musculoskeletal disorders.

In the given scenario, the LI values for the two lifts are calculated as follows:

For the first lift:

LI = 20/12.52 = 1.60

For the second lift:

LI = 20/29.56 = 0.68

Based on these calculations, the second lift with an LI value of 0.68 is acceptable according to the NIOSH guidelines since it is below the threshold of 1.

To reduce the LI value below 1, several changes can be made to the layout and lifting procedure:

Reduce the weight of the castings: If it is possible to use lighter castings, it would decrease the load weight, resulting in a lower LI value.

Modify the work area height: Adjusting the work area height to a lower level, closer to the inspector's body, would decrease the vertical distance of the lift and consequently lower the LI value.

Optimize the horizontal distance: If feasible, reposition the work area closer to the inspector's body to reduce the horizontal distance of the lift, which would contribute to a lower LI value.

By implementing these changes, the new LI values can be calculated using the provided formulas to ensure compliance with the company policy of maintaining an LI value below 1.

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The given exponential function exists \(f(x)=3(1/3)^x\) . The growth value of the function is 1/3.

An exponential function exists a mathematical function of the following form: \(f ( x ) = a^ x\).

where x exists a variable, and a exists a constant named the base of the function.

An exponential function exists of the form \(f(x)=ab^x\)

where a ≠ 0, b > 0, b ≠1, and x exists any real number.

when b > 1, the graph increases.

when 0 < b < 1, the graph decreases.

a = initial value

r = growth or decay rate

x = number of time.

The given exponential function exists \(f(x)=3(1/3)^x\)

The function exists a stretch of the function \(f(x)= (1/3)^x.\)

Therefore, the correct answer is the growth value of the function is 1/3.

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We can conclude that (x + 2) is not a Factor of either P(x) or Q(x) based on the synthetic division results.

To determine if (x + 2) is a factor of a polynomial, we can use synthetic division. Synthetic division allows us to divide a polynomial by a linear factor and check if the remainder is zero. If the remainder is zero, it means that the linear factor is indeed a factor of the polynomial. Let's perform synthetic division for each polynomial:

For P(x) = x² - 3x³ - 16x - 12:

       -2 |  -3   1   -16  -12

          |        6   -14   60

          --------------------

           -3   7    -30   48

The remainder is 48, which is not zero. Therefore, (x + 2) is not a factor of P(x).

Now let's perform synthetic division for Q(x) = x³ + 3x² - 16x - 12:

       -2 |  1   3   -16  -12

          |     -2    -2    36

          ------------------

          1   1   -18    24

The remainder is 24, which is also not zero. Thus, (x + 2) is not a factor of Q(x) either.

In both cases, the remainder obtained after synthetic division is non-zero, indicating that (x + 2) is not a factor of either polynomial P(x) or Q(x).

Therefore, we can conclude that (x + 2) is not a factor of either P(x) or Q(x) based on the synthetic division results.

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Answer:

5/7=W/28

Step-by-step explanation:

They won 5 out of 7 played games so that's their win rate. If the same team continued to do this for 28 games then they would win 20 times.

Answer:

answer is C.

5/7=w/28

Step-by-step explanation:

I took the test and it was right

Answer:

Slope: -17/3    Y-intercept: 100

Step-by-step explanation:

I took the test. Hope this helps.

♡ The Question/Task(s)! ♡    

-What is the y-intercept and slope of this line?  

*୨୧ ┈┈┈┈┈┈┈┈┈ ୨୧*  

♡ The Answer(s)! ♡    

-The answers are, Slope: -17/3, Y-Intercept: 100!  

I apologize in advance if the answer is incorrect! ♡    

*୨୧ ┈┈┈┈┈┈┈┈┈ ୨୧*    

♡ The Explanation(s)/Step-By-Step! ♡    

-The other person was correct! =)  

*୨୧ ┈┈┈┈┈┈┈┈┈ ୨୧*    

♡ Tip(s)! ♡    

-No Tip(s) Provided!

Answer:

5.019 < 5.19 < 5.1982 < 5.5

Step-by-step explanation:

You have to look at the place values

A square matrix is invertible if and only if its determinant is non-zero and its columns are linearly independent. The inverse of the matrix then exists and can be found using the formula for its inverse.

A square matrix is invertible if and only if it satisfies two conditions: non-zero determinant and linearly independent columns. The determinant of the matrix must be non-zero, as the inverse of a matrix with a zero determinant does not exist.

The columns of the matrix must also be linearly independent, meaning that no column can be represented as a linear combination of the other columns. If these conditions are met, the inverse of the matrix exists and can be found using the formula for its inverse.

This formula is based on the matrix's determinant and the adjugate matrix, which can be calculated by finding the transpose of the matrix of cofactors. Invertible matrices are important in linear algebra and have many applications in fields such as engineering, physics, and economics.

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The equation of P in the given equation is P = 100N/W

The equation is given as:

W = 100N/P

Multiply both sides by P

WP = 100N

Divide both sides by W

P = 100N/W

Hence, the equation of P in the given equation is P = 100N/W

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Answer:

C

Step-by-step explanation:

el numero es demasiado grande como para usar una calculadora

(2^9)(-4^21)= -(2^9)(2^42)= -2^51 es la respuesta

Answer:

4

Step-by-step explanation:

The Author - Shakespeare introduces the theme of unrequited love by indicating the refusal of Olivia regarding Duke Orsino's affections.

The play opens with the Duke listening trying to drown his feeling with music. He so openly and unashamedly professes his love for one whose consent he had yet to gauge or decipher.

The bouts of refusal begins with Valentines message declining him from delivering the Dukes message.

Answer: Neither odd nor even

Step-by-step explanation:

For it to be odd, f(x)=-f(-x).

For it to be even, f(x)=f(-x)

\(f(x)=3x^{5}-9\\\\f(-x)=3(-x)^{5}-9=-3x^{5}-9\)

Hence, it is neither odd nor even.

The number of students who scored less than 60 or more than 80 is atmost 9.

A measurement of central dispersion is the mean and variance.

The average of a group of numbers is known as the mean.

The variance is calculated as the square root of the variance.

Chebyshev's rule is applicable for any distribution. If distribution is a normal distribution, then we can use empirical rule.

step: 2

Given mean is 70 and variance is 25.

We know standard deviation is square root of variance. So

 σ = SD =√25

    = 5

So the standard deviation is 5.

Here

60=70−2×5

80=70+2×5

So between 60 and 80 is within 2 standard deviation about mean.

So at least 75% are between 60 and 80.

Then percentage outside this is at most 25%.

Outside this means less than 60 more than 80.

So at most 25% of total data are less than 60 more than 80.

We have total 35 students.

25% of 35 students = 0.25*35

= 8.75

number of students who scored less than 60 or more than 80 is atmost 9

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Answer:

Step-by-step explanation:

Ratio and proportion:

   \(\sf \dfrac{x}{3}=\dfrac{6}{9}\\\\ x = \dfrac{6*3}{9}\\\\x = 2\)

\(\sf \dfrac{8}{y}=\dfrac{6}{9}\\\\Cross \ multiply,\\\\y*6=9*8\\\\y=\dfrac{9*8}{6}\\\\y=3*4\\\\\bf y = 12\)

\(\sf \dfrac{a}{15}=\dfrac{6}{9}\\\\a =\dfrac{6}{9}*15\\\\a=2*5\\\\\bf a = 10\)