find the perimeter: (use 3.14 for pi):

Answer:

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

Answer:

1. x - 1

2. [tex]\sqrt{x^2-1}[/tex]

Step-by-step explanation:

[tex]f(g(x)) = \sqrt{x+1}^2 - 2\\ = x + 1 - 2\\= x - 1[/tex]

[tex]g(f(x)) =\sqrt{x^2-2+1}\\ = \sqrt{x^2-1}[/tex]

Answer:

6 hours for daughter alone     Answer A

Step-by-step explanation:

Rate of mom to clean one house =  1 house /3 hrs  = 1/3

rate of daughter   = 1/x

Now find the time to clean one house with their combined rates for one house

1 /   (1/3 + 1/x )    = 2 hrs

1/3 + 1/x = 1/ 2

x + 3 = 3/2 x

3 = 1/2 x

x = 6 hrs   daughter alone

Answer:

√85 which is approximately 9.2195

Step-by-step explanation:

Answer:

f=- 6, x=-1

f = - 6, x=-3

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Using the sine and cosine ratios, the true statement is: D. sin(J) = cos(L).

Sine ratio: sin ∅ = opp/hyp.

Cosine ratio: cos ∅ = adj/hyp.

In the image given, find sin(J) using the sine ratio:

∅ = J

Opposite = KL = √(219² - 178²) = 127.6 [Pythagorean theorem]

Hypotenuse = LJ = 219

Sin(J) = 127.6/219

Find cos(L) using the cosine ratio:

∅ = L

Adj = KL = 127.6

Hypotenuse = LJ = 219

Cos(L) = 127.6/219

Therefore, the true statement is: D. sin(J) = cos(L).

Learn more about the sine and cosine ratios on:

https://brainly.com/question/15793827

#SPJ1

The formula that should be entered in A3 is = A1 * B1

The question implies that:

A3 = A1 times B1

In mathematics, the term "times" means *

So, we have:

A3 = A1 * B1

Remove the variable A3

= A1 * B1

Hence, the formula that should be entered in A3 is = A1 * B1

Read more about excel formulas at:

https://brainly.com/question/1285762

#SPJ1

Rewriting the equation of the given line in slope-intercept form,

[tex]2x-3y=13\\\\2x-13=3y\\\\y=\frac{2}{3}x-\frac{13}{3}[/tex]

Thus, the slope of the given line is 2/3. Since perpendicular lines have slopes that are negative reciprocals of each other, we want to find the line with a slope of -3/2.

Substituting into point-slope form,

[tex]y-5=-\frac{3}{2}(x+6)\\\\y-5=-\frac{3}{2}x-9\\\\\boxed{y=-\frac{3}{2}x-4}[/tex]

The packet should be dropped  3636.55 horizontal meters before the target in order to hit the target

Trajectory is the path followed by a moving object when it is falling under gravitational force.

x = 90 t

y = -4.9 t²2 + 4500

t ≥ 0

y = 0

-4.9t² + 4500 = 0

4.9t²2 = 4500

[tex]\rm t = \sqrt {\dfrac{4500}{4.9}}[/tex]

t = 30.30 seconds

substituting the value to determine the horizontal distance

x = 120 * 30.30

x = 3636.55 meters

Therefore the packet should be dropped  3636.55 horizontal meters before the target in order to hit the target

The complete question is

a drone traveling horizontally at 120m s over a flat ground at an elevation of 4500 meters must drop an emergency package on a target on the ground the trajectory of the package is given by x 120t y 4.9t 2 4500 where the origin is the point on the ground directly beneath the drone at the moment of release. How many horizontal meters before the target should the package be released in order to hit the target? Round to the nearest meter.

To know more about Trajectory

https://brainly.com/question/11879784

#SPJ1

Answer:

The number in the green box should be 3.

Step-by-step explanation:

[tex]c + 4 {c}^{2} - 2 + 2c - {c}^{2} + 5 = 3 {c}^{2} + 3c + 3[/tex]

Answer:

Look below!

Step-by-step explanation:

From the picture, the answer is A.

From the points, calculate the slope using y2-y1/x2-x1

you will find that the slope is -1

parallel lines have the same slope

so y = -x+1 is the correct answer

now,

parallel lines never intersect

therefore, they have no solution.

Answer: y = 3x - 21

Step-by-step explanation:

If the lines form a right angle, this means that they are perpendicular. Therefore, we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other (in other words, their slopes multiply to -1).

The slope of AB is [tex]\frac{3-5}{8-2}=\frac{-2}{6}=-\frac{1}{3}[/tex]. This means that the slope of BC is 3.

Substituting into point-slope form,

[tex]y-3=3(x-8)\\\\y-3=3x-24\\\\\boxed{y=3x-21}[/tex]

Step-by-step explanation:

Using it's formula, it is found that the estimate monthly payment is of $480.42.

It is given by:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

In which:

The parameters are given as follows:

P = 25000, n = 60, r = 0.0575.

Hence:

r/12 = 0.0575/12 = 0.00479167.

Hence the payment will be of:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

[tex]A = 25000(0.00479167)\frac{(1+0.00479167)^{60}}{(1+0.00479167)^{60}-1}[/tex]

A = 480.42.

More can be learned about the monthly payment formula at https://brainly.com/question/25537936

#SPJ1

Answer: d

Step-by-step explanation:

divide 300 by 50 to get 6 then multiply 2.5 by 6 to get 15 therefore the answer is d 15ml

Answer:

By comparing all the expressions with the formula (a - b)(a + b) = (a² - b²), we find that c, d and e options are correct.

Step-by-step explanation:

Concept: The condition is that, the product should result in a difference of squares. In mathematics, we have such a formula which is (a - b)(a + b) = (a² - b²). So, we need to compare all the options with this relation.

(x - y)(y - x) = -(x² - 2xy + y²)

(6 - y)(6 - y) = 36 - 12y + y²

(3 + xz)(-3 + xz) = (xz + 3)(xz - 3) = x²z² - 9 . This expression is correct

(y² - xy)(y² + xy) = [tex]y^{4} - x^{2} y^{2}[/tex]. This expression is correct

(64y² + x²)(-x² + 64y²) = (64y² + x²)(64y² - x²) = [tex]4096y^{4} -x^{4}[/tex]. This expression is correct.

For more explanation, refer the following link

https://brainly.com/question/13484409

SPJ10

Answer:

127 degrees = x

Step-by-step explanation:

A six sided polygon has interior angles that sum to

(n-2)(180) =  (6-2)(180 = 720

so all of the angles in the question add to 720

 98 + 133 + x + x + 155 + 80 = 720

  solve for x = 127 degrees

Answer:

x = 127

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 6 , then

sum = 180° × 4 = 720°

sum the interior angles and equate to 720

x + x + 155 + 80 + 98 + 133 = 720 , that is

2x + 466 = 720 ( subtract 466 from both sides )

2x = 254 ( divide both sides by 2 )

x = 127

Answer:

96

Step-by-step explanation:

The formula for average = [tex]\frac{Sum \hspace{0.15cm} of\hspace{0.15cm} Items}{No.\hspace{0.15cm} of \hspace{0.15cm} Items}[/tex]

After taking 3 tests, the average is 88.

∴ 88 = Sum of Items / 3

Sum of Items = 88 x 3

                      = 264

This means Lenny's total score after 3 tests is 264.

We now have to calculate how many marks needs to be added to 264 so that after four tests, the average is 90.

Now the number of items (tests) = 4, and average = 90.

Let the marks required in 4th test = [tex]x[/tex]

∴ [tex]\frac{264 + x}{4} = 90[/tex]

264 + [tex]x[/tex] = 360

[tex]x[/tex] = 360 - 264

  = 96

Based on the indices of the regular polygons, the number of sides that X has is 8. See the computation below.

Assuming that X has G number of sides; and

Y has H number of sides, this means that:

G-H = 3 ...........1

Recall that the formula for the exterior angles is:

360/n; where n is number of sides

X = 360/G

Y = 360/H

(360/G) + (360/H) = 117°.......2

Solving 1 and 2 simultaneously, we obtain:

G= 8 and

H = 5

Thus, X has 8 sides.

Learn more about Polygons at:
https://brainly.com/question/1592456
#SPJ1

Answer:

The answer is $2.80.

Step-by-step explanation:

The price was reduced to two dollars and you buy 28 cans for the same price in which you got 20 cans at original price. So you need to take 28 cans times 2, which you will receive 56. Take 56 the price divided by 20 the original price cans and you will receive 2.8 or $2.80. To double check your work, take 2.80 times 20 and see if you get 56. #BallersKnowMath

Answer:

The answer be the 2 one

Step-by-step explanation:

I do it and it come right

The probability is 0.2153.

It is a branch of mathematics that deals with the occurrence of a random event.

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]^{n}C_x* P^{x}* (1-p)^{n-x}[/tex]

n=18, p=0.8

So,

[tex]^{18}C_{14}* 0.8^{14}* (1-0.8)^{18-14}[/tex]

=0.2153

Hence, the probability is 0.2153.

Learn more about probability here:

https://brainly.com/question/13708171

#SPJ1

A function assigns the values. The value of f(-3) and f(3) + f(-3) is 8 and -8, respectively.

A function assigns the value of each element of one set to the other specific element of another set.

Given the function f(x)=-x²-4x+5, therefore, the value of f(x) when the value of x is -3 is,

f(-3) = -(-3)² - 4(-3) + 5

f(-3) = -9 + 12 + 5

f(-3) = 8

Now, the value of f(x) when the value of x is 3 is,

f(3) = -(3)²-4(3)+5

f(3) = - 9 - 12 + 5

f(3) = -16

further, the value of f(3) + f(-3) is,

f(3) + f(-3) = -16 + 8

f(3) + f(-3) = -8

Hence, the value of f(-3) and f(3) + f(-3) is 8 and -8, respectively.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ1

Answer:

30.5

Step-by-step explanation:

here :

n represents the number of trials

p represents the probability of success

 In a binomial distribution, The mean

 is equal to the product of those two values.

In other words,

The mean = n × p

                 = 122 × 0.25

                 = 30.5

Answer: 4.2%

Step-by-step explanation:

Multiplying these, we get (1/6)(1/4), which is about 4.2%

Answer:

-3 and -7

Step-by-step explanation:

Factors of 21: 1, 3, 7, 21

3 and 7 add up to 10, but what about -10? Well, -3 * -7 is also 21, and -3 + -7 gives you -10.

Brainliest, please :)

The part that represents the solution to the inequality will be Part B shaded below first line and above second line.

From the information given, the equation of the first line will be:

y - 3 = (-3 - 3/2 + 4)(x + 4)

y - 3 = -1(x + 4)

y + x = -4 + 3

x + y = -1

The equation of the second line will be:

y + 3 = -1(x + 4)

y = x + 4 - 3

y = x + 1

This is plotted on the graph attached.

From the systems of equations, the statement that is correct about the two systems of equations is that They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 3 times the second equation of System A.

Learn more about inequalities on:

brainly.com/question/12215820

#SPJ1

Answer:

Step-by-step explanation:

A function is defined so that for each input, there is no more than one output.

Answer:

added in the picture

Step-by-step explanation:

added in the picture