HELP ASAP! Complete the square. Formula (b/2)²
a²+ 14a − 51 = 0

A. {-3,17}
B. {3,-17}
C. {-3,-17}
D. {3,17}

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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The 15 and 9 units side lengths of the parallelogram ABCD, and the 36° measure of the acute interior angle, A indicates the values of the ratios are;

1. AB:BC = 5:3

2. AB:CD = 1:1

3. m∠A : m∠C= 1 : 4

4. m∠B:m∠C = 4:1

5. AD: Perimeter ABCD = 3:16

A ratio is a representation of the number of times one quantity is contained in another quantity.

The shape of the quadrilateral ABCD in the question = A parallelogram

Length of AB = 15

Length of BC = 9

Measure of angle m∠A = 36°

Therefore;

1. AB:BC = 15:9 = 5:3

2. AB ≅ CD (Opposite sides of a parallelogram are congruent)

AB = CD (Definition of congruency)

AB = 15, therefore, CD = 15 transitive property

AB:CD = 15:15 = 1:1

3. ∠A ≅ ∠C (Opposite interior angles of a parallelogram are congruent)

Therefore; m∠A = m∠C = 36°

∠A and ∠D are supplementary angles (Same side interior angles formed between parallel lines)

Therefore; ∠A + ∠D = 180°

36° + ∠D = 180°

∠D = 180° - 36° = 144°

∠D = 144°

m∠A : m∠C = 36°:144° =1:4

m∠A : m∠C = 1:4

4. ∠B = ∠D = 144° (properties of a parallelogram)

m∠B : m∠C = 144° : 36° = 4:1

5. AD ≅ BC (opposite sides of a parallelogram)

AD = BC = 9 (definition of congruency)

The perimeter of the parallelogram ABCD = AB + BC + CD + DA

Therefore;

Perimeter of parallelogram ABCD = 15 + 9 + 15 + 9 = 48

AD:Perimeter of the ABCD  = 9 : 48  = 3 : 16

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The length of the diameter of circle is 12 feet .

Given equation of circle,

(x - 13)² + (y + 20)² = 36

Now let us see the standard form of equation of circle,

Since, the equation of a circle is,

\({(x-h)^2} + (y - h)^2 = r^2\)

Where,

(h, k) is the center of the circle,

r = radius of the circle,

Comparing it with the standard form  the values of h, k , r are:

Here,

(h, k) = (13, -20)

r²  = 36

r = 6 units,

Now,

Diameter is double than that of radius.

So,

d = 2r

d = 12 feet

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Ummm... Are you ok? Please retype this lol

Answer:

Can anyone tell which language is this..... Lol

Answer:

The concentration of the new mixture is 46%

Step-by-step explanation:

The first solution of 5 fl. oz. is concentrated at 2% alcohol. The amount of alcohol in the solution is:

5*2/100=0.1 fl. oz.

The second solution of 11 fl. oz. is 66% alcohol. The amount of alcohol in the solution is:

11*66/100=7.26 fl. oz.

The total alcohol in the mixture is

0.1 + 6.6 = 7.36 fl. oz.

The total amount of the mixture is:

5 + 11 = 16 fl.oz.

The concentration of the new mixture is:

7.36 / 16 * 100 = 46%

The concentration of the new mixture is 46%

Answer:

16 attendees at most.  sorry if its wrong

Step-by-step explanation:

33 divided by 11 = 3.

3 for each attendee.

48 - 33 = 15.

15 divided by 3 = 5.

a0 is the regression term that describes the constant or intercept in the linear regression equation.

In a simple linear regression model, the equation takes the form of y = a0 + a1x + e1, where y is the dependent variable (or response variable), x is the independent variable (or predictor variable), a0 is the intercept or constant term, a1 is the coefficient of the independent variable, and e1 is the error term.

The intercept term, a0, represents the value of the dependent variable when the independent variable is zero. For example, in a linear regression model that predicts salary based on years of experience, the intercept would represent the starting salary for someone with zero years of experience. The intercept is an important component of the regression equation because it allows us to make predictions for values of x that are outside the range of our observed data.

The coefficient, a1, represents the change in the dependent variable for each one-unit increase in the independent variable. In the salary example, the coefficient would represent the average increase in salary for each additional year of experience.

Both the intercept and coefficient are estimated from the data using methods such as least squares regression. Once these values are estimated, we can use them to make predictions for new values of x.

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Answer: The salesperson must sell 20 memberships to make the same amount of money under both plans.

Step-by-step explanation:

Let x be the number of memberships.

In first plan,

Weekly salary of $300 plus a commission of $15 for each membership sold.

i.e. Earning (weekly) = 300+15x

In second plan,

The other plan offers no salary but pays $30 commission on each membership sold.

i.e. earning = 30x

According to the question, when \(300+15x=30x\)

\(\Rightarrow\ 300=30x-15x\\\\\Rightarrow\ 300=15x\\\\\Rightarrow\ x=\dfrac{300}{15}\\\\\Rightarrow\ x=20\)

Hence, the salesperson must sell 20 memberships to make the same amount of money under both plans.

Punnett square is a diagrammatic representation of genotypes of a distinct cross in organisms.

Punnett square is a diagrammatic representation of genotypes of a distinct cross in organisms.

It is used to know the result of the genotype of the offspring having either having single or multiple traits.

The correct answers are:

1.Option C. 0%

In the Punnett square the cross is between the purebred dominant and purebred recessive parent.

This will result in all the offspring having a heterogeneous genotype trait carrying purple color. Hence 0% will carry white color.

2. Option D. 25%

It can be explained as:

Due to the presence of heterogenous parent species. It will result in 25% of offspring carrying white color.

Therefore, in question 1, 0% of plants will be white while in another question 25% of the offspring will carry the white color trait.

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This is the polar equation for the curve represented by the Cartesian equation xy = 1.

To find the polar equation for the curve represented by the Cartesian equation xy = 1, we can substitute the Cartesian coordinates with their equivalent polar coordinates.

In polar coordinates, x = r * cos(θ) and y = r * sin(θ).

Substituting these into the equation xy = 1:

(r * cos(θ)) * (r * sin(θ)) = 1

Expanding and simplifying:

r² * cos(θ) * sin(θ) = 1

Since cos(θ) * sin(θ) is equal to (1/2) * sin(2θ), we can rewrite the equation as:

(r²/2) * sin(2θ) = 1

Dividing both sides by (r²/2), we get:

sin(2θ) = 2/r²

This is the polar equation for the curve represented by the Cartesian equation xy = 1.

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The given number is,

On solving, we have,

B: (0, -1) , ( -4,0) , ( -2, -1) , (7, -7)

Image result for ordered pair definition

An ordered pair is a composite of the x coordinate (abscissa) and the y coordinate (ordinate), with two values expressed between parenthesis in a predetermined order. It aids visual comprehension by locating a point on the Cartesian plane. An ordered pair’s numeric values can be integers or fractions.

The origin is the place where both axes cross. Every point on the coordinate plane is represented by an ordered pair (x, y), with the first element x referred to as the x-coordinate and the second element y referred to as the y-coordinate.

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Answer:

In the situation where segment \(\overline {AM}\) is perpendicular to segment \(\overline {CI}\), such that \(\overline {AM}\) is the perpendicular bisector to segment \(\overline {CI}\) we have the following two column proof;

Statement          \({}\)                   Reason

M is the midpoint of \(\overline {CI}\)     \({}\)    Given

\(\overline {CM}\) ≅ \(\overline {IM}\)        \({}\)                      Definition of midpoint

\(\overline {AM}\) ≅ \(\overline {AM}\)       \({}\)                      Reflexive property

∠CMA = ∠IMA = 90°        \({}\)      Definition of perpendicular bisector

ΔCAM ≅ ΔIAM        \({}\)              By the Side-Angle-Side (SAS) rule of congruency

However, where the segment \(\overline {AM}\) is not be assumed as perpendicular to segment \(\overline {CI}\), then CNBD

Step-by-step explanation:

Answer:

It's CNBD. Leave the first blank...well blank

Using the given exponential function,

The rate of the disease spreading is approx. 140 peoples per day affected.

let P be the number of people's that are contacting a new disease.

given exponential function about the new disease modeled by population is

P(t) = 3725/(1 +1.72 e⁻⁰·⁵²ᵗ) ---(1)

where t is time measured in days

we want to calculate the rate of diseases spreading on day 4 i.e t = 4

putting the value t = 4 in above formula, we get

P(t=4) = 3725/(1 + 1.72 e⁻⁽⁰·⁵²⁾⁴)

=> P( t= 4) = 3725 / (1 + 1.72× e⁻⁰·²⁸)

=> P(t=4) = 3725/(1 + 1.72× 0.124)

=> P(t = 4) = 3725/(1+ 0.2148)

=> P(t=4) = 3725/1.2148

=> P(t = 4) = 3066.14

Hence, after 4 days of diseases spread , total 3066 people's are affected from it .

rate of diseases spreading per day is equal to (3725-3066)/4 = 659/4 = 139.75

so, rate of spreding diseases is 139.75 ~ 140 peoples per day .

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Answer:

ok muchas gracias por tus puntos

Answer:THE SECOUND ONE

Step-by-step explanation:

PLZ IT RIGHTS

Answer:  The total cost for the frame is $78.00

Step-by-step explanation:

Photograph size = 5 inches x 8 inches

Perimeter = 5 + 5 +8 + 8

Perimeter =26 inches

Cost = $3.00 / inch for a silver frame

Total frame cost = 26 inches x $3.00 = $78.00

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An exponential function to model the quail population is y = 765(1+0.16)ⁿ and the approximate population be after 4 years is 1384.65 quails.

Population growth is seen to increase at an exponential rate. We use the following to model this growth.

y = A₀(1 + r)ⁿ

where

y = value at time

A₀ = original value

r = rate of growth

n = time elapsed

An exponential function that models the quail population is set up like:

y = 765(1+0.16)ⁿ

so that, for example, if we wanted to figure out the population at time (4 years), then we would set up the function as follows,

y = 765(1+0.16)⁴

y = 765(1.16)⁴

y = 765* 1.81

to get

y = 1384.65 quails after 4 year has elapsed.

Hence, an exponential function to model the quail population is y = 765(1+0.16)ⁿ and the approximate population be after 4 years is 1384.65 quails.

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The areas and legths are:

L = 120 - 2w

when width = 10

L = 120 - 2 x 10

120 - 20

Length = 100

Area = L x W

= 10 x 100

= 1000

When width is 30

L = 120 - 2 x 30

L = 60

Area = 30 x 60

= 1800

When width = 40

L = 120 - 2 x 40

L = 120 - 80

L = 40

Area = 40 x 40

= 1600

Hence the area and length are

1. Length = 100

Area = 1000

2. Length = 60

Area = 1800

3. Length = 40

Area = 1600

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The definitions in Column 1 match with the following vocabulary words in Column 2:

A collection of methods for collecting, displaying, analyzing, and drawing conclusions from data: Descriptive statistics

The definitions in Column 1 correspond to specific vocabulary words from Column 2. Each definition describes a statistical concept or method. The corresponding vocabulary words are as follows:

A collection of methods for collecting, displaying, analyzing, and drawing conclusions from data: Descriptive statistics.

The most common result (the most frequent value) of a test, survey, or experiment: Mode.

The score that divides the results in half - the middle value: Median.

The average of a distribution is equal to the summation of x divided by the number of observations: Mean.

The difference between the highest and lowest score in a distribution: Range.

Probability distributions whose graphs can be approximated by bell-shaped curves: Normal distribution.

The average of the squared distances of the data values from the mean: Variance.

The positive square root of the variance: Standard deviation.

The number of standard deviations a point is from the population mean: z-score.

The branch of statistics that involves organizing, displaying, and describing data: Statistics.

These vocabulary words are fundamental in statistical analysis and are used to describe and interpret data in various fields of study

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The surface area of the triangle is approximately 17.54 square units.

Given that,

The length of sides of triangular shape is,

a = 12

b = 3

And c = 5

To find the surface area of a triangle,

Use Heron's formula to calculate the area of the triangle,

A = √(s(s-a)(s-b)(s-c)),

Where A is the area of the triangle, a, b, and c are the length of the sides of the triangle,

And s is the semi perimeter of the triangle,

which is  ⇒ (a+b+c)/2.

Now put the values to calculate the semi perimeter of the triangle,

s = (12+3+13)/2 = 14

Then, we can put in the values to Heron's formula:

A = √(14(14-12)(14-3)(14-13))

  = √(308)

  = 17.5

Hence surface area = 17.5 square units.

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Answer:

20m

Step-by-step explanation:

Given the height reached by the ball modelled by the equation

h = -d² + 8d+4.

The velocity of the balk at its maximum height is 0. Hence

v = dh/dd = 0

v = -2d + 8

0 = -2d+8

2d =8

d =8/2

d = 4

Substitute d = 4 into the equation to get the maximum height reached

h = -(4)² + 8(4)+4

h =-16+32+4

h = -16+36

h = 20

Hence the maximum height reached by the ball is 20m

Answer:

3 and -2

Step-by-step explanation:

3 + (-2) = 3 - 2 = 1

3 * -2 = -6

Answer:

A half is not a unit of measure for weight, so it is not possible to answer this question.

Answer:

♡ hi there, fairy ♡

- h is 15 because 57-4.5=52.5/3.5=15

have a great day.

✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧

Step-by-step explanation:

Answer:

The answer is h=15

Step-by-step explanation:

3.5 h+4.5)= 57

Let's solve your equation step-by-step.

3.5h+4.5=57

Step 1: Subtract 4.5 from both sides.

3.5h+4.5−4.5=57−4.5

3.5h=52.5

Step 2: Divide both sides by 3.5.

3.5h/3.5=52.5/3.5

h=15

Answer: h=15

Answer:

First side is 15 m.

Second side is 13 m.

Third side is 21 m.

Step-by-step explanation:

Let x be the second side of the triangle = x

The first side of a triangle is 2 longer than the second side = x + 2

The third side is 5 shorter than twice the second side. = 2x - 5

Perimeter = 49 m

The formula for finding the perimeter of triangle is:

P = a + b + c

Put the values in the formula

49 = x + x + 2 + 2x - 5

49 = 4x - 3

Use APE or Addition Property of Equality

49 + 3 = 4x

52 = 4x

Use DPE or Division Property of Equality to find the value of x

\(\frac{52}{4} = \frac{4x}{4}\)

13 = x

Now put the value of x in the equation

First side( x + 2) = 13 + 2 = 15

Second side( x ) = 13

Third side (2x - 5) =

2(13) - 5

26 - 5

= 21

Answer:

0.6819

Step-by-step explanation:

The value of sin 43° to the nearest ten-thousandth will be 0.682

The steps are as follow:

So, the  value of sin 43° to the nearest ten-thousandth will be 0.682

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