Solve 2x2 + 20x + 8 = 0 by completing the square.

Question 12 options:

x = 5 + 17−−√, x = 5 –17−−√

x = 5 + 21−−√, x = 5 –21−−√

x = –5 + 17−−√, x = –5 –17−−√

x = –5 + 21−−√, x = –5 –21−−√

The amount it would cost to put a new floor in the closet is $76.00

From the question, we are to calculate how much it would cost to put a new floor in the closet

From the given information,

A closet in the house is 2 yards by 1 yard.

To determine how much it would cost to put a new floor in the closet,

First,

We calculate the area of the closet

Area of the closet = 2 yard × 1 yard

Area of the closet = 2 square yards

Now,

From the given information,

The flooring costs $38.00 per square yard

Thus,

The amount it would cost to put a new floor in the closet is

2 × $38.00

= $76.00

Hence,

The amount it would cost is $76.00

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Answer:

so simple! n÷4=remainder 3.

2n÷4=3×2=6.

HOPE THIS HELPS AND PLSSS PLSSS MARK AS BRAINLIEST

THNXX :)

The value of iⁿ is -1 \(i^n\) = \(-i\).

Complex numbers are numbers which are of the form \(a + ib\), where a and b are real numbers and i is the imaginary number called iota whose value is \(i^2\) = -1.

We have to find the value of iⁿ if the remainder of  n/4 is 3.

The remainder of n/4 is 3 means that the value of n is 1 less than the multiple of 4.

When 1 is taken less to any of the multiple of 4, then the number will be an odd number.

So n is an odd number.

Now, the value of \(i^2\) = -1.

\(i^3\) = \(i^2\) × \(i\) = \(-i\)

\(i^4\) = \(-i\) × \(i\) = \(-i^2\) = 1

From the pattern it is seen that any number, n which is 1 less than the multiple of 4 will have, \(i^n\) = \(-i\).

Hence the value of \(i^n\) = \(-i\).

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Answer:

d) \(8.97*10^{-3}\)

Step-by-step explanation:

Move the decimal 3 spaces to the right so that way the decimal can be between the first two numbers. When you move the decimal to the right, it makes the exponent negative, when it moves to the left, it makes it positive

In mathematical logic, the Law of Detachment says that if the following two statements are true:

( 1 ) If p, then q.

( 2 ) p

Then we can derive a third true statement:

( 3 ) q.

In our question, we have

( 1 ) If 0º< A <90º, then A is an acute angle.

( 2 ) The measure of A is 58º.

Then, from the first statement, we can affirm

( 3 ) A is an acute angle.

Answer: Here's how to do it with a calc

First, calculate the sqr of 181. This result is 13.453624

Step-by-step explanation:

Finally, solve for a and c.

A, the value less than the sqr of 181 is 13.453623

C, the value greater than the sqr of 13.453625

Answer: Here's how to do it without a calc

Realistically, without a calculator, you know that the sqr of 181 will not be a negative number, at most it will have decimals. Therefore, use any integer to solve for A and C.

A is any integer and C is any number greater than 181.

Abby should write her equation as k = 1.61m.

The correct option is B.

A pair of algebraic equations with the equal symbol (=) in the center and the same value are referred to as an equation.

Given:

Abby knows that 1 mile is about 1.61 kilometers.

To write an equation, which she can use to convert any given distance in miles (m) to kilometers (k):

Let m be the total number of miles and k be the kilometers.

So, the equation is,

k = 1.61m

Where 1.61 is multiplied by m.

Therefore, the equation is k = 1.61m.

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Answer: B = 15 kph or 15 kph

step by step

(b-5)*10=(b+5)*5

10b-50=5b+25

5b=75

b=15 kph in still water

The following two terms of an arithmetic progression are -6 and -11.

What is an arithmetic sequence?

An arithmetic sequence is defined as a progression of numbers such that the difference between successive terms is consistent. It is also called Arithmetic Progression. The formula for tthe last term of an AP is given as: an = a + (n-1)d, here, a is the first term, n is the number of terms and d is the difference between two successive terms.

Finding the two terms of an arithmetic sequence

The first three terms of an arithmetic sequence are given by:

a1 = 9

a2 = 4

a3 = -1

Now, we want to calculate a4 and a5

Using the formula for calculating the next term of an arithmetic progression, we get,

a4 = a + (n-1)d, where n = 4 and d = 5

a4 = 9 + (4-1)(-5)

a4 = 9 - 15

a4 = -6

Further, a5 = a + (n-1)d, where n = 5 and d = 5

a5 = 9 + (5-1)(-5)

a5 = 9 - 20

a5 = -11

Hence, the next two terms of an AP are -6 and -11.

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Answer:

let  f(x)=2,  

•In this function there is no x therefore it's a constant function represent as y=2 at x=0

• Therefore at f(0)=2  and even at x=2 it will be the same

• at  f(2)=2 , coordinate will be (2,2)

•• at  f(0)=2 , coordinate will be (0,2)

Step-by-step explanation:

The given Mayan number which is : :|| :|| in decimal (base 10) is 42.

The Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).

To convert the given Mayan number to decimal (base 10), we need to understand the positional value of each symbol. Each position in the number represents a power of 20, with the rightmost position being 20⁰, the next position to the left being 20¹, and so on.

The Mayan number given, : :|| :||, can be broken down as follows:

The leftmost position has no symbol, which represents a value of 0.

The second position from the left has two shell-like symbols (:), which represents a value of 2x20¹ = 40.

The third position from the left has two horizontal bars (||), which represents a value of 2x20⁰ = 2.

The given Mayan number in decimal (base 10) is 40 + 2 = 42.

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Complete question is:

Convert the following Mayan number to decimal (base 10).

: :|| :||

The difference between hard rationing and soft rationing is that the Soft rationing is from the company's own policies on how to use their capital while Hard capital rationing is as a result of the restraints on a company from the outside entities.

Hard capital rationing  can be described as the restraints  that is been put on the company  and usually done by the outside entities and some of the entities that usually carry this out are the banks  as well as lenders.

On the other hand, the Soft capital rationing  do come from the  company's own policies with rspect to the use of the capital.

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Answer:

Smaller

Step-by-step explanation:

2 2/5 * 1/6 = 2/

5

= 0.4

Conversion a mixed number 2 2/

5

to a improper fraction: 2 2/5 = 2 2/

5

= 2 · 5 + 2/

5

= 10 + 2/

5

= 12/

5

To find a new numerator:

a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 5/

5

= 10/

5

b) Add the answer from previous step 10 to the numerator 2. New numerator is 10 + 2 = 12

c) Write a previous answer (new numerator 12) over the denominator 5.

Two and two fifths is twelve fifths

Multiple: 12/

5

* 1/

6

= 12 · 1/

5 · 6

= 12/

30

= 2 · 6/

5 · 6

= 2/

5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(12, 30) = 6. In the following intermediate step, cancel by a common factor of 6 gives 2/

5

.

In other words - twelve fifths multiplied by one sixth = two fifths.

Answer:

$440

Step-by-step explanation:

100%-25%=75%

75%=330

1%=330÷75=4.4

100%=100x4.4=440

Hope this helps! Thanks.

This it the test please do as fast as posible and show work. thank you and sorry

Answer:

Mind sending a picture or finish typing it

It will help alot to understand

Answer:

14V

Step-by-step explanation:

Answer:

210 houses sold

Step-by-step explanation:

7/8 of 240

240 divided by 8=30

30 x 7 = 210

hope this helps

Brainiest plz?

x

the expressions are

42g+21 and 7(6g+3)

because

the expressions are equivalents

Answer:

\(\displaystyle \frac{75}{2}\) or \(37.5\)

Step-by-step explanation:

We can answer this problem geometrically:

\(\displaystyle \int^6_{-4}f(x)\,dx=\int^1_{-4}f(x)\,dx+\int^3_1f(x)\,dx+\int^6_3f(x)\,dx\\\\\int^6_{-4}f(x)\,dx=(5*5)+\frac{1}{2}(2*5)+\frac{1}{2}(3*5)\\\\\int^6_{-4}f(x)\,dx=25+5+7.5\\\\\int^6_{-4}f(x)\,dx=37.5=\frac{75}{2}\)

Notice that we found the area of the rectangular region between -4 and 1, and then the two triangular areas from 1 to 3 and 3 to 6. We then found the sum of these areas to get the total area under the curve of f(x) from -4 to 6.

Answer:

\(\dfrac{75}{2}\)

Step-by-step explanation:

The value of a definite integral represents the area between the x-axis and the graph of the function you’re integrating between two limits.

\(\boxed{\begin{minipage}{8.5 cm}\underline{De\:\!finite integration}\\\\$\displaystyle \int^b_a f(x)\:\:\text{d}x$\\\\\\where $a$ is the lower limit and $b$ is the upper limit.\\\end{minipage}}\)

The given definite integral is:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x\)

This means we need to find the area between the x-axis and the function between the limits x = -4 and x = 6.

Notice that the function touches the x-axis at x = 3.

Therefore, we can separate the integral into two areas and add them together:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x=\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\)

The area between the x-axis and the function between the limits x = -4 and x = 3 is a trapezoid with bases of 5 and 7 units, and a height of 5 units.

The area between the x-axis and the function between the limits x = 3 and x = 6 is a triangle with base of 3 units and height of 5 units.

Using the formulas for the area of a trapezoid and the area of a triangle, the definite integral can be calculated as follows:

\(\begin{aligned}\displaystyle \int^6_{-4} f(x)\; \;\text{d}x & =\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\\\\& =\dfrac{1}{2}(5+7)(5)+\dfrac{1}{2}(3)(5)\\\\& =30+\dfrac{15}{2}\\\\& =\dfrac{75}{2}\end{aligned}\)

The dimensions that will minimize the cost of constructing this box is length = 56in , depth = 0.13in and height = 46.6inch

According to the question,

Volume of Rectangular box = 350 in³

Let Area of base of box = l × b

Let height of box be h

So , V = lbh

=> 350 = lbh

=> h = 350/lb ------------(1)

To Minimize the cost,

Total Area = base area + front lateral Area

Front lateral Area = lh + (2b + l) h

So, Total area =  lb + lh + (2b + l) h

Substituting value of h from equation (1)

=> TA =  lb + l( 350/lb) + (2b + l) (350/lb)

Cost function =>

C = 5lb + 10(350/ b) + 3(2b + l)(350/lb)

Solving,

C = 5lb + 3500/b + 2100/l + 1050/b

=> C =  5lb + 4550/b + 2100/l is required cost function

Now, To minimize the cost

We will differentiate Cost function w.r.t a and b

C' = 5b - 2100/l² = 0 ----------(2)

C' = 5a - 4550/b² =0 -----------(3)

Solving both using substitution method

=> b = 420/l²

=> 5lb² = 4550

=> lb² = 910

=>176400/l³ = 910

=> l³ = 176400/910

=> l = 56 in

putting value of a,

b = 0.13 in

Therefore ,

height =  350 / 7.5

=> h = 46.67 in

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The value of the tax for the meal is $1.05.

The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government.

Depending on the regulations in that country, a business may be responsible for sales taxes in that jurisdiction if it has a presence there, which can be a physical site, an employee, or an associate.

Given the  cost of the meal = $15.00

and rate of tax = 7%

converting the rate of tax into decimal form,

rate of tax = 7% = 7/100

rate of tax = 0.07

amount of tax = cost x rate of tax

amount of tax = 15 x 0.07

amount of tax = $1.05

Hence the amount of tax is $1.05.

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Answer:

Minimum=60

First Quartile(Q1)=79

Median=86

Third Quartile (Q3)=89

Interquartile range (IQR)=10

The limit of the function As x → - ∞, f(x) → 2.

The limit of a function is the value the function tends to as the independent variable tends to a given value.

Given the graph of the function above, to find the limit of the function As x → -∞, f(x) →? We proceed as follows

Looking at the graph, we see that f(x) has a horizontal asymptote at y = 2. Now, we see that As x → -∞, f(x) approaches 2.

So, As x → - ∞, f(x) → 2.

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Answer:

a+4b-24

Step-by-step explanation linked:

The required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.

here,
Given that a point B (-4, -5) is reflected across the y-axis, the Coordinate of image B' is to be determined.

Since the coordinate is reflected across the y-axis,
The equation of trasformation is given as,
(x , y) ⇒ (-x , y)

So, the image of B,

B' = (-(-4), -5)

B' = (4, -5)

Thus, the required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

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Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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The solution is, s = 273

Arc length formula is used to calculate the measure of the distance along the curved line making up the arc (a segment of a circle). In simple words, the distance that runs through the curved line of the circle making up the arc is known as the arc length.

here, we have,

r=7m

theta = 39°

we know, s= r*theta

i.e. s = 273

hence, The solution is, s = 273.

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The number of girls tried for goal is 24 and number of girls made a goal is 18. So ratio of gils who made a goal to who tried is,

Answer is 3/4