Solve the quadratic equation by completing the square. x2+6x+7=0 First, choose the appropriate form and fill in the blanks with the correct numbers. Then, solve the equation. If there is more than one solution, separate them with commas.

Answer:

2/9

Step-by-step explanation:

convert mixed number to improper fraction

8/3÷3 1/4

dividing is equivalent to multiplying by the reciprocal

8/3×1/3×1/4

reduce the numbers with the greatest common factor 4

2/3×1/3

multiply the fraction

2/3×1/3=2/9

2/9 is your answer

Answer:

a

Step-by-step explanatio

Answer:

a) enlargement

b) scale factor is 2

Step-by-step explanation:

As we can see, we went from the block to the red figure

a) Since the red figure is bigger, then what we have is an enlargement of the original figure

b) As we can see, the coordinates of the red is two times the value of the coordinates of the black

So, we can conclude that what we have as a scale factor is 2

Answer:

54 square ft

Step-by-step explanation:

Find missing sides:

8+6 = 14

9-6 = 3

Find area of full rectangle:

9×8 = 72

Find the area of the missing part of the full rectangle

3×6 = 18

Find the area of the actual shape:

72-18 = 54

Area = 54 square ft

Answer:

60

Step-by-step explanation:

Answer:

Step-by-step explanation:

²³

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

t = -100

Step-by-step explanation:

Simplify to isolate t:

[tex]\frac{t}{2}+10-10=-40-10[/tex]

[tex]\frac{t}{2} * \frac{2}{1} = -50 * 2[/tex]

[tex]t = -100[/tex]

Answer:

A. Right 6, Down 5

Step-by-step explanation:

I don't know how to explain this

Answer:

[tex]36+27\pi\:\mathrm{in^2}[/tex]

Step-by-step explanation:

The figure consists of a square and a sector. We can add the areas of the square and sector to get the total area of the figure.

The area of a sector with measure [tex]\theta[/tex] in a circle of radius [tex]r[/tex] is equal to [tex]\frac{\theta}{360}\cdot r^2\pi[/tex]. Since there are 360 degrees in a circle and 90 degrees in each corner of a square, the measure of the sector is [tex]270^{\circ}[/tex].

Thus, its area is:

[tex]\frac{270}{360}\cdot6^2\cdot pi=\frac{3}{4}\cdot 6^2\cdot \pi=27\pi[/tex].

The area of a square with side length [tex]s[/tex] is given by [tex]s^2[/tex]. Therefore, the area of the circle is [tex]6^2=36[/tex] and the total area of the figure is [tex]\boxed{36+27\pi\:\mathrm{in^2}}[/tex]

Answer: 36+27in2

Step-by-step explanation:

Answer:

The equation of curve is [tex]y = 3\cdot 7.389^{x}[/tex].

Step-by-step explanation:

The exponential growth function is represented by the expression described below:

[tex]y = a\cdot b^{x}[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]a[/tex] - Initial value of [tex]y[/tex].

[tex]b[/tex] - Base.

By deriving (1), we obtain an expression for the slope of the curve:

[tex]y' = a\cdot b^{x} \cdot \ln b[/tex] (2)

If we know that [tex]x = 0[/tex], [tex]y = 3[/tex] and [tex]y' = 6[/tex], then we have the following system of equations:

[tex]a = 3[/tex] (3)

[tex]a\cdot \ln b = 6[/tex] (4)

By (3) in (4):

[tex]3\cdot \ln b = 6[/tex]

[tex]\ln b = 2[/tex]

[tex]b = e^{2}[/tex]

[tex]b = 7.389[/tex]

Therefore, the equation of curve is [tex]y = 3\cdot 7.389^{x}[/tex].

Answer:

[tex]Pr = 62.5\%[/tex]

Step-by-step explanation:

Given

See attachment for table

Required

Probability that the selected employee uses drug, if the test is positive

From the attached table,

[tex]n(Positive) = 32[/tex] --- Positive for drug

[tex]n(Positive\ and\ Uses\ Drugs) = 20[/tex]

So, the required probability is calculated using:

[tex]Pr = \frac{n(Positive\ and\ Uses\ Drugs)}{n(Positive)}[/tex]

[tex]Pr = \frac{20}{32}[/tex]

[tex]Pr = 0.625[/tex]

Express as percentage

[tex]Pr = 0.625 * 100\%[/tex]

[tex]Pr = 62.5\%[/tex]

Answer:

[tex]\displaystyle m = 2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

Point (-1, 4)

Point (3, 12)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

$2005296.14

Step-by-step explanation:

(3250)(1+.055)^120=2005296.1362 rounded to the nearest penny =$2005296.14

Answer:

lLove

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=0.6666667

Step-by-step explanation:

hope it's help yan po Yong sagot

Answer: the answer is 4x^2

Step-by-step explanation:

hope it help

Answer:

609 m²

Step-by-step explanation:

Area of unshaded:

(6 x 18) + ((13-6) x 7) = 157

Area of overall rectangle:

36 x 28 = 1008

Area of the chunck of rectangle not included:

11 x 22 = 242

Area of shaded:

1008 - 157 - 242 = 609

Answer:

y = 54

x = 36

Step-by-step explanation:

Using tan x or y = opp/adj

Answer:

8 units²

Step-by-step explanation:

What you have is a square with two triangles. We will break them apart, calculate the area and then add them together.

Square: A = l · w

2 · 2 = 4 un²

Triangle: A = (b · h) ÷ 2

(2 · 2) ÷ 2 = 2 un²

4 un² + 2 un² + 2 un²

8 un²

Answer:nice

Step-by-step explanation:

Answer:was this

Step-by-step explanation:

Answer:

423.32cm³

Step-by-step explanation:

Volume of a cylinder = [tex]V=\pi r^2h[/tex]

where r = radius and h = height

Given height = 11 cm

Given radius = 3.5 cm

* plug in these values into the formula *

[tex]V=\pi 3.5^211\\3.5^2=12.25 \\12.25\pi =38.48\\34.48*11=423.32\\V=423.32[/tex]

So we can conclude that the answer would be D

Answer:

2

Step-by-step explanation:

your dog doesn't love you because it saw what you did. it knows. be cautious around your dog from now on. it knows more than you think and sees all. I'm warning you

Answer:

c

Step-by-step explanation:

[tex] \sqrt{ \frac{1}{ {x}^{2} } } \times \sqrt{ \frac{ {x}^{2} }{81} } = \frac{1}{x} \times \frac{x}{9 } = \frac{1}{9} [/tex]

The value of the expression [√(1 / x²)] · [√(x² / 81)] will be 1/9. Then the correct option is C.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below,

⇒ [√(1 / x²)] · [√(x² / 81)]

Simplify the equation, then we have

⇒ [√(1 / x²)] · [√(x² / 81)]

⇒ [1/x] · [x/9]

⇒ 1/9

The value of the expression [√(1 / x²)] · [√(x² / 81)] will be 1/9. Then the correct option is C.

More about the value of the expression link is given below.

https://brainly.com/question/23671908

#SPJ7

Answer:

[tex](a)\ P(x \ge 215)[/tex]

[tex](b)\ P(x \ge 214.5) = 0.07353[/tex]

Step-by-step explanation:

Given

[tex]p = 0.50[/tex] ---- proportion of watches with defects

[tex]n = 400[/tex] --- Number of watches

Solving (a): Represent at least 215 of 400 are defective

In inequalities, at least means: [tex]\ge[/tex]

So, the probability is represented as: [tex]P(x \ge 215)[/tex]

Solving (b): Calculate [tex]P(x \ge 215)[/tex]

Normal or Poisson: Normal distribution is characterized by 2 parameters [tex]\mu[/tex] and [tex]\sigma[/tex].

These two parameters can be easily calculated from the given parameters in the question. So, we solve using normal distribution

Start by calculating the mean

[tex]\mu =np[/tex]

[tex]\mu = 0.50 * 400[/tex]

[tex]\mu = 200[/tex]

Calculate standard deviation

[tex]\sigma = \sqrt{\mu (1 - p)[/tex]

[tex]\sigma = \sqrt{200 * (1 - 0.50)[/tex]

[tex]\sigma = \sqrt{200 * 0.50[/tex]

[tex]\sigma = \sqrt{100[/tex]

[tex]\sigma = 10[/tex]

By continuity correction, we have:

[tex]x \to x - 0.5[/tex]

[tex]x \to 215 - 0.5[/tex]

[tex]x \to 214.5[/tex]

So, we have:

[tex]P(x \ge 215) = P(x \ge 214.5)[/tex]

Calculating [tex]P(x \ge 214.5)[/tex], we have:

[tex]P(x \ge 214.5) = 1 - P(x < z)[/tex]

Calculate z score

[tex]z = \frac{x - \mu}{\sigma}[/tex]

[tex]z = \frac{214.5 - 200}{10}[/tex]

[tex]z = \frac{14.5}{10}[/tex]

[tex]z = 1.45[/tex]

So, we have:

[tex]P(x \ge 214.5) = 1 - P(x < 1.45)[/tex]

Using the z score probability table, we have:

[tex]P(x < 1.45) = 0.92647[/tex]

So, we have:

[tex]P(x \ge 214.5) = 1 - 0.92647[/tex]

[tex]P(x \ge 214.5) = 0.07353[/tex]

The last one 8,000 + 600 + 9