Solve the equation
below. Show all of your
work.
2y + 8 = 2

Answer:

Diameter of a circle formula D = 2 × r

Circumference of a circle formula C = 2 × π ×

Area of a circle formula          A = π × r2

Step-by-step explanation:

Answer:

Parameters Circle Formulas

Diameter of a circle formula D = 2 × r

Circumference of a circle formula C = 2 × π ×

Area of a circle formula A = π × r2

The equation for the plane tangent to each surface - -10x + 6y + z - 5 = 0

What is Plane Tangent?

a tangent is a line that touches a curve at exactly one point without intersecting it. Similarly, a plane tangent is a plane that touches a surface at only one point without intersecting it further. This concept is commonly used in calculus and differential geometry to study the behavior of curves and surfaces.

We usually use partial derivatives of the equation of the surface to find the equation of the plane tangent to the surface at a point. The normal vector to the surface at that point is obtained by taking the cross product of the partial derivatives evaluated at that point. Then, using the coordinates of the point and the normal vector, we can determine the equation of the plane using the point-normal form or the general form of the plane equation.

It is important to note that the tangent plane equation depends on the specific point on the surface where the tangent plane is desired. Different points on the surface will have different tangent planes associated with them.

To find the equation for the plane tangent to the surface z = f(x, y) at a point (a, b, c), we need to use the partial derivatives of f with respect to x and y at the point (a, b) to find the normal vector to the plane.

Then we can use the point-normal form of the equation of a plane to write the equation.

First, we need to find the partial derivatives of f(x, y) = x^2 + y^3 - 6xy with respect to x and y:

fx = 2x - 6y

fy = 3y^2 - 6x

Then we can evaluate these partial derivatives at the point (1, 2) to get the normal vector:

n = <fx(1, 2), fy(1, 2)> = <2(1) - 6(2), 3(2)^2 - 6(1)> = <-10, 6>

So the equation of the plane tangent to the surface z = f(x, y) = x^2 + y^3 - 6xy at the point (1, 2, 3) is:

-10(x - 1) + 6(y - 2) + (z - 3) = 0

Simplifying, we get:

-10x + 6y + z - 5 = 0

So the equation of the plane tangent to the surface z = x^2 + y^3 - 6xy at the point (1, 2, 3) is -10x + 6y + z - 5 = 0

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The sample's initial mass and the remaining mass after 3 days are

\(&{\left[A_0\right]=10 \mathrm{mg}} \\\) ,  \(&{\left[A_t\right]=0.08245 \mathrm{mg}}\)

Given that:

Half life =10.4 hours

\($$t_{1 / 2}=\frac{\ln 2}{k}$$\)

Where, k is rate constant

So,

\(&k=\frac{\ln 2}{t_{1 / 2}} \\\)

\(&k=\frac{\ln 2}{10.4} \text { hour }^{-1}\)

The rate constant, k=0.06664 hour -1

Time =24 hours

Using integrated rate law for first order kinetics as:

\($$\left[A_t\right]=\left[A_0\right] e^{-k t}$$\)

Where,

\($\left[A_t\right]$\)

is the concentration at time\($\mathrm{t}=2 \mathrm{mg}$\)

\($\left[A_0\right]$\)

is the initial concentration =?

So,

\(&2 \mathrm{mg}=\left[A_0\right] \times e^{-0.06664 \times 24} \\\)

\(&{\left[A_0\right]=10 \mathrm{mg}}\)

Now, time =3 days =3 × 24 hours =72 hours ( 1 day =24 hours)

\($$\left[A_0\right]=10 \mathrm{mg}$$\)

Thus,

\($$\left[A_t\right]=10 \times e^{-0.06664 \times 72} \mathrm{mg}=0.08245 \mathrm{mg}$$\)

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Answer:

4900m²

Step-by-step explanation:

Area of rectangular plot = lxb

=100x90

=9000m²

Area of beans = lxb

=40x80

=3200m²

Area of sukumawiki = lxb

=30x30

=900m²

Area of maize = Total area - Area of beans - Area of sukumawiki

=9000-3200-900

=4900m²

Answer:

3) a. f(-4) = 2

   b. f(0) = 0

   c. f(3) = -1.5

   d. f(-5) = 0

   e. x = -4

    f. x= 0

4) a. f(-1) = 1

   b. f(3) = -1

   c. 1

   d. -5

5) f(6) = 2

   f(2) = 4

   f(0) = 7

   f(5) = 1.5

    x=4

Answer:

see below

answers as required.

3)

a. \(f\)(-4) = 2

b. \(f\)(0) = 0

c. \(f\)(3) = -1.5

d. \(f\)(-5) = 0

e. x = -4

f. x= 0

4)

a. \(f\)(-1) = 1

b. \(f\)(3) = -1

c. 1

d. -5

5)

\(f\)(6) = 2

\(f\)f(2) = 4

\(f\)(0) = 7

(5) = 1.5

x=4

The given rational function is 2x / ((x)(x-1)(x-2)(x-3)). By using partial fraction decomposition, we can rewrite the expression as a sum of simpler fractions, with each denominator being a factor of the original expression.

To perform partial fraction decomposition, we start by factoring the denominator of the rational function. In this case, the denominator is (x)(x-1)(x-2)(x-3). We can rewrite the original expression as a sum of fractions with simpler denominators.

Let's denote the unknown coefficients as A, B, C, and D. Then the partial fraction decomposition of the given rational function is:

2x / ((x)(x-1)(x-2)(x-3)) = A/x + B/(x-1) + C/(x-2) + D/(x-3).

Each term on the right side has a simpler denominator that matches one of the factors of the original denominator. The coefficients A, B, C, and D are constants that we need to determine by equating the numerators on both sides of the equation and solving the resulting system of equations.

Note that the given prompt specifically asks not to solve for the coefficients, so we stop here with the partial fraction decomposition.

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The standard form of the the equation of the circle with the given center (-6,8) and radius r=10 : -

In a circle, a point moves so that it always remains at a fixed distance from a point called center.

Let the point be (h , k)and as center of circle is (-6,8), its distance is  ' c ' from this point will always be 10.

equation of circle=(x-h)^2+(y-k)^2=c^2

(x−(-6))^2+(y−8)2=10^2

(x+6)^2 +(y-8)^2=100

x^2 +36+12x +y^2+64-16y=100

x^2+y^2+12x-16y+100-100=0

x^2+y^2+12x-16y=0

so , the standard form of the circle is x^2+y^2+12x-16y=0.

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True, the estimated p-hat is a random variable and will vary slightly with different samples.

The estimated p-hat is the proportion of successes in a sample, used to estimate the population proportion. As it is calculated based on a sample, the p-hat will vary slightly with different samples. This is because each sample is unique and may not perfectly represent the population. Therefore, the estimated p-hat is considered a random variable. However, as the sample size increases, the variability in the p-hat decreases, leading to a more accurate estimate of the population proportion.

In summary, the estimated p-hat is a random variable and will vary slightly with different samples. It is important to consider the sample size when interpreting the variability of the p-hat and its accuracy in estimating the population proportion.

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Answer:

49 - 2y

Step-by-step explanation:

y to represent Vanessa's age.

49 decreased by twice Vanessa's age

decreased by means subtract, twice means 2 times

49 - 2y

Answer:

60$ (b)

Step-by-step explanation:

we know that 20% of the total is peters - and peter has 12 dollars. We know that 20% 5 times gets us to 100%. So we multiply 12 by 5 to get a total answer of 60$

Answer:

999,960

Step-by-step explanation:

let x be a multiple of 120

120x ≤ 999,999

999,999 / 120 = 8333.325

8333 ≤ x ≤ 8334

8333(120) = 999,960

8334(1200) = 1,000,080  this is a 7-digit number

Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960

Answer:false

Step-by-step explanation:

Since angle y and angle x form vertical angles, the measure of angle x is equal to 50°.

In Geometry, the vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.

Furthermore, the sum of the angles on a straight line is equal to 180. Therefore, we would sum up all of the angles as follows;

60° + 70° + y = 180°

130° + y = 180°

y = 180° - 130°

y = 50°

Since both angle x and angle y are vertical angles, we can logically deduce that they are congruent and as such the magnitude of angle x is equal to 50°.

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Answer:

5:11

Step-by-step explanation:

Answer:

11:16

Step-by-step explanation:

Sorry if incorrect

Answer:

$14.7

Step-by-step explanation:

To find the markup, you can use the following formula:

markup = (selling price - cost price) / cost price x 100

cost price = $35

selling price = $35 + markup

markup = (selling price - $35) / $35 x 100

Now you know that selling price = $35 + markup and markup = 42%, so you can use this information to find selling price:

markup = 42% = 0.42

selling price = $35 + $35*0.42 = $35+14.7 = $49.7

So the markup is $14.7

Answer:

1.701

Step-by-step explanation:

the word OF means to multiply

so in order to do this..

FIRST:  make 10% into .10 because the % sign goes 2 times to the right

SECOND: you do .10 times 17.01

FINALLY: you get 1.701

Answer:

Step-by-step explanation:

5, 5, 5, 16, 16, 28, 29, 32, 35, 48

Mode: 5, 16

Median: 44/2 = 22

range: 48 - 5 = 43

mean: (5 + 5 + 5 + 16 + 16 + 28 + 29 +32 + 35 + 48)/10 = 219/10 = 21.9

Answer:

Step-by-step explanation:

-7 -x - 3 = 12

-x - 10 = 12

-x = 22

x = -22

Answer:

-16r^2 - 10r

Step-by-step explanation:

all you got to do is distribute

Answer:

Step-by-step explanation:

A.) To find out how many pages Celina reads per minute, you would have to divide 16 by 8 = 2.

B.) Now that we know she reads two pages every one minute, we are able to calculate how many minutes it takes her to read one. You need to divide 2 by 2 = 1.

A.) = 2

B.) = 1

1. The major difference between inductive reasoning and deductive reasoning is inductive reasoning is mainly concerned with forming and developing a theory, whearas deductive reasoning is mainly concerned with putting already developed theories into test.

2. An equation written with one variable is similar to that written with two variables in a manner that they both have unknowns that you need to solve and know.

3. They differ in a manner that the equation with one variable represents a single situation where there is just one unknown quantity, for instance, if you bought a pen for $5 and you need to know how many pens you can buy for $25. This can be represented with this: 5p = 25 where p stands for number of pens.

On the other hand, an equation of two variables represents a situation where there are two unknowns that have a relationship. For instance, if you buy a pen and a book for $5 and you buy 2 pens and a book for $7 and you need to know the price for one book and a pen, this could be found by representing the situation with these simultaneous equations:

p + b = 5

2p + b = 7

Where p and b stand for pen and book respectively.

The correct option is D. 0%.

The annual realized return for Amazon.com is 0%.

An average annual total return would be the geometric average sum of money generated by an investment over a specific time period.

Some key features of annual realised/total returns are-

Now, according to the question;

The realized returns for 4 quarters are;

15%, 15%, -15%, and-15%

Thus,

Annual realized return = (sum of realized return of 4 quarters)/ 4

                                     = (15% + 15% - 15% - 15%)/4

Annual realized return = 0%

Therefore, the annual realized return for Amazon.com is 0%.

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The correct question is-

Amazon.com stock prices gave a realized return of 15%, 15%, -15%, and-15% over four successive quarters. for the year? What is the annual realized return for Amazon.com A. -445% B. -7.12%c. -5.12% D. 0%

Answer:

\( \frac{7}{16} \)

Step-by-step explanation:

In this kind of questions we use the following steps to find the answer:

\( \frac{5}{8} - \frac{3}{16} \)

\( \frac{10}{16} - \frac{3}{16} \)

\( \frac{10 - 3}{16} = \frac{7}{16} \)

Is the answer to the question.

Answer:

C

Step-by-step explanation:

5/8 becomes 10/16 and then subtract that result from 17/16

Answer:

It is a many-to-one function.

Step-by-step explanation:

Answer:

Angle DFC is complementary to angle BFC

Step-by-step explanation:

AD is a straight line passing line EB. DFE, EFA, AFB and BFD are right angles as the lines are perpendicular.

DFB is divided into 2 angles by the segment FC

therefore

DFC + BFC = 90 degrees

The break-even point is the level of output at which total revenue (TR) equals total cost (TC). In this case, with TR(x) = 20x and TC(x) = 120 + 10x, we need to find the value of x where TR(x) = TC(x).

To find the break-even point, we set TR(x) equal to TC(x) and solve for x.
TR(x) = TC(x) can be expressed as:
20x = 120 + 10x
Simplifying the equation, we combine like terms:
20x - 10x = 120
10x = 120
To isolate x, we divide both sides of the equation by 10:
x = 12
Therefore, the break-even point occurs when x is equal to 12. At this level of output, the total revenue is equal to the total cost.

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