write one sentence with using the word innate .

Answer:

76 degrees

Step-by-step explanation:

The total of the three angles in a triangle should equal 180 degrees. So to find the third angle, subtract the two given angles from 180

180 - 87 = 93

93 - 17 = 76

The third angle is 76 degrees because then all angles will add up to 180

The best fitting line minimizes the sum of the squared errors when using least-square regression.

When trying to find the best fitting line to a set of data points, the goal is to minimize the differences between the observed data and the predicted values on the line.

The least-square regression method achieves this objective by minimizing the sum of the squared errors, which is the sum of the squared vertical distances between each data point and the corresponding point on the line.

By using the least-square regression approach, we can determine the line that provides the best overall fit to the data by minimizing the total squared differences. This method takes into account all the data points and calculates the line that best represents the relationship between the variables of interest.

The least-square regression line is often referred to as the "best fitting" line because it provides the most accurate prediction of the dependent variable based on the independent variable(s). It is widely used in various fields, including statistics, economics, and social sciences, to analyze and model relationships between variables.

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Answer:

The number of carrot sticks and apple slices is 16 + 48 = 64.

The percentage of carrot sticks is (16 / 64) * 100 = 25%.

If we have an angle equal to 175.5°, then its supplementary angle is equal to 4.5°.

To solve this problem we must know that an angle and its supplementary add up to 180º, that is, the following equality must be satisfied:

β + α = 180º

The measure of a supplementary angle is the difference between 180° and the given angle. In this case, the given angle is 175.5°. To find the measure of the supplementary angle, we will subtract 175.5° from 180°.
α = 180° - 175.5° = 4.5°

Therefore, the measure of the supplementary angle is 4.5°.

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The ideal system sensitivity is 0.001003125 mV/με (millivolts per microstrain), and the ideal slope of the calibration equation is 996.875 με/mV (microstrain per millivolt)

How to find ideal system sensitivity ?

Given:

Sg = 2.130

Ei = 1.5 Vdc

G = 3200

We can use the formula:

System Sensitivity = (Excitation Voltage * Strain Gage Sensitivity) / (Gain of the Signal Conditioning System)

to calculate the ideal system sensitivity of the strain gage system expressed in millivolts per microstrain.

Plugging in the values, we get:

System Sensitivity = (1.5 Vdc * 2.130) / 3200 = 0.001003125 mV/με (millivolts per microstrain)

This means that a change of 1 microstrain in the strain gage will produce a change of 0.001003125 mV in the output voltage.

How to find ideal slope of the calibration equation?

To determine the ideal slope of the calibration equation in microstrain per millivolt, we simply take the reciprocal of the system sensitivity. So we get:

Ideal Slope = 1 / System Sensitivity = 1 / 0.001003125 = 996.875 με/mV (microstrain per millivolt)

This means that a change of 1 mV in the output voltage will produce a change of 996.875 microstrain in the strain gage.

Therefore, the ideal system sensitivity of the strain gage system expressed in millivolts per microstrain is 0.001003125 mV/με (millivolts per microstrain), and the ideal slope of the calibration equation in microstrain per millivolt is 996.875 με/mV (microstrain per millivolt).

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Ideal slope ≈ 0.0978 micro strain per millivolt

We need to use the following formula:
Sensitivity = (Sg × Ei × G) / 1000

where:
Sg = 2.130 (gage factor)
Ei = 1.5 Vdc (input voltage, in volts)
G = 3200 (instrumentation amplifier gain)

Now, let's calculate the sensitivity:

Sensitivity = (2.130 × 1.5 × 3200) / 1000
Sensitivity = 10224 / 1000
Sensitivity = 10.224 millivolts per microstrain

How to determine the ideal slope of the calibration equation in micro strain per millivolt?                                                            We need to find the inverse of the sensitivity:
Ideal slope = 1 / Sensitivity
Ideal slope = 1 / 10.224
Ideal slope ≈ 0.0978 micro strain per millivolt

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Answer: y = 2/3x + 1

Step-by-step explanation: Slope is always slope = Change in y/Change in x

The change in y (the second point) is 2, and the change in x (the first point) is 3. Our y intercept is 1, so it will pass through (0,1)

Answer:

Step-by-step explanation:

Given:

Selling price is:

Answer: I Do not know specifically but If we are talking about rates/per hour the answer is 55 Per hour

Step-by-step explanation:

165 miles ÷ 3 hours because It may be talking about rates. Per "HOUR"

Answer:

Answer:

First Blank: $625

Second Blank: 20

Third Blanks: ( 0, 20 )

Step-by-step explanation:

I got you fam.

Answer: The maximum profit the florist will earn from selling is $675

The florist will break even after 20 one dollar decreases

The interval of the number of one dollar decreases for which the florist makes a profit from celebration bouquets is (0,20)

Step-by-step explanation: We found out the first answer by seeing where the highest point it hit y was, and the second by looking how many points it took to drop down to 0, then found those points for the third answer.

Answer:

Step-by-step explanation:

We will look for a line that has the general form of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).

A line parallel to y=2x-1 will have the same slope, 2.

We can write y = 2x + b for the new line.  We need to find b.  We can use the given point in this equation and solve for b:

y = 2x + b

2 = 2(4) + b  for (4,2)

2 = 8 + b

x = -6

The parallel line to y=2x-1 that goes through point (4,2) is:

y = 2x-6

See the attached graph.

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to write the equation of the line that passes through (4, 2) and is parallel to y=2x-1.

\(\triangle~\fbox{\bf{KEY:}}\)

Since the slope of the given line is 2, the slope of the line parallel to this one is also 2.

y=2x+c

Where: 2 is the y-coordinate of the point, and 4 is the x-coordinate.

Now, substitute 2 for y and 4 for x:

\(\longmapsto\sf{2=2(4)+c}\)

Simplify!

\(\longmapsto\sf{2=8+c}\)

Subtract 8 from both sides of the equal sign:

\(\longmapsto\sf{2-8=c}\)

\(\longmapsto\sf{-6=c}\)

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Answer:

  (0, -6)

Step-by-step explanation:

You can find an ordered pair by choosing a value for one of the variables and solving the resulting equation for the other variable.

It is often convenient to choose 0 as a value for one of the variables.

For x = 0

  0 -y = 6

  y = -6 . . . . multiply by -1

One ordered pair is (0, -6).

__

For y = 0

  3x -0 = 6

  x = 2 . . . . divide by 3

Another ordered pair is (2, 0).

Answer:

5 feet

Step-by-step explanation:

The rose garden is trianglar and so the total of the two shorter sides need to equal more than the longest side. In this case 4+x=9. 6,7, and 8 all meet these requirments but 4+5 is 9, 9=9 which means 5 feet cannot be used

Answer:

1. Given

2. Vertical angles

3. Transitive

4. Corresponding Angles

Step-by-step explanation:

1. Number one is given because it is the statement that is given

2. Number two is vertical angles because they are two opposite angles that are formed by the same lines. The statement also says they are congruent, which is true of vertical angles.

3. From the given answers 3 must be transitive because <2=<4 and <2=<6. Although alternate interior angles is also an appropriate answer.

4. Number four must be corresponding because they are on the same side of the intersection of the lines, so they are both in the top right. Also, the statement says they are congruent which is true of corresponding angles.

Answer:

x = 30

Step-by-step explanation:

x/-5 = -6

x = -6(-5)

x = 30

Answer:

Step-by-step explanation:

The graph of \(y=x^2\) in vertex form is \(y=(x-h)^2+k\) where h and k, the vertex, is (0, 0). If we shift the parabola right or left, or up or down, the h and k values take on that reflection. If we move up 4, k goes from a value of 0 to a value of 4; if we move right 2 units, h goes from a value of 0 to a value of 2. Putting that together in work (aka vertex) form:

\(y=(x-2)^2+4\)

So, there are (n!)^2 ways to arrange n men and n women in a row if they alternate genders.

We need to use the principle of multiplication. We first choose the position of the first person in the row, which can be any of the n men or n women. Without loss of generality, let's say we choose a man. Then, for the next position, we need to choose a woman since we are alternating genders. There are n women to choose from. For the third position, we need to choose another man, and there are n-1 men left to choose from (since we already used one). For the fourth position, we need to choose another woman, and there are n-1 women left to choose from. We continue this pattern until all n men and n women are placed in the row.

Using the principle of multiplication, we can find the total number of ways to arrange the people by multiplying the number of choices at each step. Therefore, the total number of ways to arrange the people in a row if the men and women alternate is:

n * n-1 * n * n-1 * ... * 2 * 1

This can be simplified to:

(n!)^2

So, there are (n!)^2 ways to arrange n men and n women in a row if they alternate genders.

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The inverse of \(f^{-1}\) of the function f is inverse is swapping of coordinates x and y and making y as subject.

Inverse function is represented by  with regards to the original function  and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.

Generally, the method of calculating an inverse is swapping of coordinates x and y. This newly created inverse is a relation but not necessarily a function. The original function has to be a one-to-one function to assure that its inverse will also be a function.

Therefore, the inverse of \(f^{-1}\) of the function f is inverse is swapping of coordinates x and y and making y as subject.

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Answer:

$9.84

Step-by-step explanation:

At the rates given and the quantities purchased,

Maya will pay
Green Beans:   3 lbs x $1.19/lb = $3.57

Zucchini:  2 lbs x $0.99/lb = $1.98

Lettuce: 1 pound x $1.29/lb = $1.29

Sweet Corn: 6 ears x $0.50 per ear = $3.00

Total paid
= $3.57 + $1.98 + $1.29 + $3.00

= $9.84

Answer:

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

1) quotient of 32 and 4 is 32/4

8 more than means + 8

so 32÷4 + 8

2) quotient of 12 and 6 is 12/6

8 more than means + 8

so 12÷6 + 8

3) 7 * 4 + 3

here multiplication gets preference

so it is (7*4) + 3

3 more than the product of 7 and 4

4) 35 ÷ (12 - 5)

here parentheses gets preference

so it can be called as

35 divided by the difference of 12 and 5

or the quotient of 35 and the difference of 12 and 5

5) fill the boxes as below

16 divided by 4 = 16 ÷ 4

16 - 4

16 * 4

16 + 4

16 ÷ 4

16 * 4

16 + 4

16 - 4

Answer:

28/53

Step-by-step explanation:

We need the cos of Q

therefore we'll use CAH (in SOH, CAH, TOA)

where CAH means

cos(angle)=adj/hyp

the side that adjacent to Q is 28

and the hypotonous (the oppsoite to the right angle) is 53

therefore cos(q)=28/53

The expressions given in option A and option C on solving will have same value 3/2 or 1.5.

Numeric values can be obtained through the evaluation of numeric expressions, which consist of a mixture of numeric components including variables, numbers or functions, and operators. A blend of arrays and mathematical operators can be present within an expression to derive a numeric solution.

Now solving numerical expressions in the problem (refer to image attached)

A. \(\frac{1}{6} +(\frac{5}{6}+\frac{3}{6} ) = \frac{1+5+3}{6} = \frac{9}{6} =\frac{3}{2} =1.5\)

B. \(\frac{1}{3}+ \frac{5}{3}+ \frac{2}{3} =\frac{1+5+2}{3} =\frac{9}{3} =3\)

C. \(\frac{3}{5} +(\frac{1}{2} +\frac{2}{5} )=\frac{15}{10} =\frac{3}{2} =1.5\)

D. \(2+\frac{1}{2} =\frac{4+1}{2} =\frac{5}{2} =2.5\)

Hence, expressions in option A and option C have same values

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The rate at which the distance from the plane to the station is increasing when it is 5 mi away from the station is 421 mi/h.

Given information:

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.

z = 1

\(\frac{dx}{dt} = 430\)

We need to find the rate at which the distance from the plane to the station is increasing when it is 5 mi away from the station.

y = 5

According to Pythagoras

\(hypotenuse^2 = base^2 + perpendicular^2\\\\y^2 = x^2 + 1^2\\\\y^2 = x^2 + 1\).... (1)

Put z=1 and y=5, to find the value of x.

\(5^2 = x^2 + 1^2\\\\25 = x^2 + 1\\\\25 - 1 = x^2\\\\24 = x^2\)

Taking square root both sides.

\(\sqrt{24} = x\)

Differentiate equation (1) with respect to t.

\(2y\frac{dy}{dt} = 2x\frac{dx}{dt} + 0\)

Divide both sides by 2.

\(y\frac{dy}{dt} = x\frac{dx}{dt}\)

Put   \(x = \sqrt{24}\), y=5,  \(\frac{dx}{dt} = 430\) in the above equation.

\(2\frac{dy}{dt} = \sqrt{24}(430)\)

Divide both sides by 2.

\(\frac{dy}{dt} = \frac{\sqrt{24}(430) }{5} \\\\\frac{dy}{dt} = 421.312\\\\\frac{dy}{dt} = 421\)

Hence the answer is the rate at which the distance from the plane to the station is increasing when it is 5 mi away from the station is 421 mi/h.

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Answer:

A. graph A

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

( 0 , 6 )

Focus:  

( 0 , 73 /12 )

Axis of Symmetry:  

x =  0

Directrix:  

y  =  71 /12

x

y

−

2

18

−

1

9

0

6

1

9

2

18

Answer:

7.5/9 = 0.83333

0.83333 = 5/6

7 1/2 / 9 = 5/6

Since you have basic knowledge of computer hardware, an action which you should take as an ethical employee include the following: A. Initiate help by offering to check the computer.

A computer hardware can be defined as a physical component of a computer system or an information technology (IT) that can be seen, touched and replaced.

In Computer technology, there are various examples of a computer hardware and these include the following:

Based on ethical principles, we can reasonably infer and logically conclude that an ethical employee should initiate help by offering to help check the colleague’s computer since he or she has basic knowledge of computer hardware.

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Answer:

1

Step-by-step explanation:

\( {3}^{2} \div 9 = \\ =(3 \times 3) \div 9 \\ = 9 \div 9 \\ = 1 \)

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Answer:

The solution is 1

Step-by-step explanation:

3²÷9

= 9÷9

= 1

Answer:

I got 31,529.8281

Step-by-step explanation:

I just replaced minimum with one(if i can do that).

If it's not right sorry.

The distance between the points is equal to 26 units.

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represents the data points (coordinates) on a cartesian coordinate.

Substituting the given parameters into the distance formula, we have the following;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(-9 - (-9))² + (-18 - 8)²]

Distance = √[0² + 26²]

Distance = √[0 + 676]

Distance = √676

Distance = 26 units.

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