find the domain and range for each and determine if its a function or not

Step-by-step explanation:

Length of a shipping box (L) = 13m

breadth of a shipping box (b) = 7m

height of a shipping box (h) = 3m

Now,

Volume of a shipping box (v) = L*b*h

= 13*7*3

= 273

Answer:

option A : 25

Step-by-step explanation:

Given :

P = (- 6, 7) , Q = ( 2 , 1 ) , R = ( -1 , -3)

Find the length of PQ ,QR , PR.

Using distance formula to find the lengths.

\(distance = \sqrt{(x_2 - x_1 )^2 + (y_ 2- y_1)^2\)

\(PQ = \sqrt{(2 -- 6)^2 + (1-7)^2} = \sqrt{8^2 + 6^2 } = \sqrt{64 + 36 } =\sqrt{100} = 10\\\\QR = \sqrt{(2 --1)^2 + (-3-1)^2}= \sqrt{3^2 + 4^2} =\sqrt{9+ 16} =\sqrt{25} = 5\\\\PR = \sqrt{(-1--6)^2 + (-3 -7)^2} = \sqrt{5^2 + 10^2} = \sqrt{25 + 100} = \sqrt{125}\)

Clearly , the triangle satisfies Pythagoras theorem :

Square of larger side = Sum of squares of other sides.

Therefore , PQR is a right triangle,

with base = 5, height 10 and slant height(hypotenuse) = \(\sqrt{125}\) .

\(Area = \frac{1}{2} \times base \times height\)

       \(=\frac{1}{2} \times 5\times 10\\\\= 5 \times 5 \\\\= 25 \ square\ units\)

Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.

To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:

J(9, 7) K(2, 1)

L(0, -8)   M(7, -2)

To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.

Slope of JK:

Slope (m) = (change in y) / (change in x)

m(JK) = (7 - 1) / (9 - 2) = 6/7

Length of JK:

Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]

d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85

Slope of KL:

m(KL) = (-8 - 1) / (0 - 2) = -9/2

Length of KL:

d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85

Slope of LM:

m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)

Length of LM:

d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85

Slope of MJ:

m(MJ) = (7 - (-2)) / (9 - 7) = 9

Length of MJ:

d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40

Based on the calculations, we can describe quadrilateral JKLM as follows:

The slope of JK and LM is 6/7.

The slope of KL is -9/2.

The slope of MJ is 9.

The length of each side (JK, KL, LM, MJ) is √85.

The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.

For more such question on Quadrilateral. visit :

https://brainly.com/question/23935806

#SPJ8

Answer:

I believe its B False

Answer:

A

Step-by-step explanation:

Answer:

$3

Step-by-step explanation:

Arya has rented a new video game from a game store. The cost of Arya's rental includes an initial rental fee, plus a fee for each day that she keeps the game. The cost of the rental is C(d) = 1.65d + 3.00, where d represents the number of days that Arya keeps the game. How much does the video game store charge for their initial rental fee?

$3

1.65 represents the additional cost per day.

3.00 represents the borrowing fee.

Answer:

if I did my math right it should be B

Answer:

B

Step-by-step explanation:

Answer:

\(\cos \theta =\dfrac{\sqrt{21}}{5}\)

Step-by-step explanation:

Given:

Substitute the given value of sin θ into the given identity and solve for cos θ:

\(\begin{aligned}(\sin x)^2+(\cos x)^2 & =1\\\implies (\sin \theta)^2+(\cos \theta)^2 & =1\\\left(\dfrac{2}{5}\right)^2+(\cos \theta)^2 & =1\\\left(\dfrac{2^2}{5^2}\right)+(\cos \theta)^2 & =1\\\dfrac{4}{25}+(\cos \theta)^2 & =1\\(\cos \theta)^2 & =1-\dfrac{4}{25}\\(\cos \theta)^2 & =\dfrac{21}{25}\\\cos \theta & =\sqrt{\dfrac{21}{25}}\\\cos \theta & =\dfrac{\sqrt{21}}{\sqrt{25}}\\\cos \theta & =\dfrac{\sqrt{21}}{5}\end{aligned}\)

Answer:

9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

Step-by-step explanation:

An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.

The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.

The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:

5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9

So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

he net income for the year is $16,550.

Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)

Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500

Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800

for more search question income

https://brainly.com/question/30157678

#SPJ8

Answer:  j(x) = (x-1)(x+2)

The x-1 part is because of the root x = 1

The root x = -2 leads to the factor x+2

Rounding this to the nearest foot, we get that the length of the guy wire is approximately 19 feet.

Units of length may have historically been determined by the lengths of human body parts, the distance traversed in a specified number of paces, the distance between well-known sites or locations on Earth, or randomly by the length of a well-known object.

The Pythagorean theorem can be used to resolve this issue. The guy wire is the hypotenuse of a right triangle made up of the guy wire, the pole, and the ground. The formula is as follows:

Guy wire length = stake to pole length + pole length to tower length

By entering the specified values, we obtain:

Guy wire length two equals two plus nineteen, or 365.

Guy wire length = 365 + 19.10 + guy wire length

If we round this number to the next foot, the guy wire's length is roughly 19 feet.

To know more about Length visit:

brainly.com/question/30100801

#SPJ1

Answer:

\( \text{C.} \: f(x) \: = \: |x| \)

Step-by-step explanation:

To identify the absolute value of a number, it will always be represented between two sticks.

Answer:

10,13 and 16

Step-by-step explanation:

The polynomial in standard form is -x^4 - x/7 + 1

From the question, we have the following parameters that can be used in our computation:

-x^4 + 1 - x/7

Rewrite the terms of the expression in descending of degrees

So, we have the following representation

-x^4 - x/7 + 1

The above is the standard form of the polynomial

Read more about polynomial at

https://brainly.com/question/7693326

#SPJ1

Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

The best statement that represents the OU daily's null hypothesis is OU Sooners = USC Trojans

What is statement ?

A declarative sentence that can only be true or false—neither—is referred to as a statement. A proposition may also be used to refer to a statement. There must be no uncertainty; this is crucial. A sentence can only be true or untrue, not both, in order to be considered a statement.

A meaningful group of words can be used to form a mathematical assertion, which can either be true or untrue. They are simply referred to as a statement. For example, the word "p" could stand for the phrase "ABC is an equilateral triangle." In an equilateral triangle, p thus equals ABC.

OU daily - predicts that,

the OU Sooners will have a better football season than the USC Trojans

The best represents the OU Daily's null hypothesis is,

∴ OU Sooner = USC Trojans

The null and alternative hypothesis is

Null Hypothesis :

OU Sooner = USC Trojans

Alternative Hypothesis : OU Sooner > USC Trojans

To learn more about statement from the given link

https://brainly.com/question/26115325

#SPJ1  

Answer:

1.40

Step-by-step explanation:

Answer:

28 yd²

Step-by-step explanation:

finding the area of a triangle is (base * height) / 2.

(14*4)=56

56/2=28

The amount of dry ingredients used in the cake recipe is approximately 7 cups.

To find the total amount of dry ingredients used in the cake recipe, we need to add up the amounts of flour, sugar, and cocoa.

3 ½ cups of flour is equal to 3 cups plus 0.5 cups, or 3 cups and 8 ounces.

2 ⅔ cups of sugar is equal to 2 cups plus 0.67 cups, or 2 cups and 10.72 ounces.

1 ¾ cups of cocoa is equal to 1 cup plus 0.75 cups, or 1 cup and 12 ounces.

Adding these amounts together, we get:

3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces

To the nearest cup, this is equal to 7 cups.

Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.

To know more about fractions follow

https://brainly.com/question/5716882

#SPJ1

B is true, so we can conclude ~~A by disjunctive syllogism.

This proof is based on the inference rules you provided.

D Proof: Premises:

C ---> (~D ---> ~X)

The Modus Ponens Rule was used.

Finally, X /D

Explanation: Using Modus Ponens, we can conclude that D ---> X from premises 1 and 2.

Because premise 2 is true, we can conclude X via modus tollens.

We can conclude that D must be false because X is true.

Evidence for C:

Conditions: A ---> B B

Modus Tollens is the rule that was used.

Finally, C / A

Explanation: Using Modus Tollens, we can conclude from premises 1 and 2 that A.

Because A is false in premise 1, we can conclude that B is true.

Because premise 2 is true, we can conclude C using disjunctive syllogism.

Proof for ~~A:

Premises:

A ---> ~D

~D ---> (~B v ~~A)

A

B

Rule used: Modus Ponens

Conclusion:

~~A /B

Explanation:

From premise 1 and 3, using Modus Ponens, we can conclude that ~D.

From premise 2 and ~D, using Modus Ponens, we can conclude that ~B v ~~A.

From premise 4, B is true, so we can conclude ~~A by disjunctive syllogism.

To learn more about syllogism.

https://brainly.com/question/21635821

#SPJ4

Answer: There are no possible solutions because

If you were to plot these two equations on the graph you would notice they are parallel because both have the same slope (3x) but still have different intercepts. This means there are no possible solutions as in order to have a solution for x and y they need to intercept and the point of interception is the solution for x and y but that cannot happen in a system of equations that result in parallel lines ( they’ll never intercept)

Answer:

Ø

Step-by-step explanation:

These equations are parallel, meaning they have SIMILAR rate of changes [slopes]. To prove it, convert the second equation from Standard Form to Slope-Intercept Form:

\(\displaystyle y - 3x = -13 \hookrightarrow y = 3x - 13 \\ \\ \left \{ {{y = 3x - 13} \atop {y = 3x - 11}} \right.\)

As you can see, both equations have a rate of change of 3, meaning we CANNOT obtain a solution here, therefore we have no solution.

I am joyous to assist you at any time.

\(\\ \sf\longmapsto 0.25\)

\(\\ \sf\longmapsto \dfrac{25}{100}\)

\(\\ \sf\longmapsto \dfrac{5}{20}\)

\(\\ \sf\longmapsto \dfrac{1}{4}\)

Answer:

\( \frac{1}{4} \)

Step-by-step explanation:

Hey there,

\(0.25 \\ \\ = \frac{25}{100} \\ \\ = \frac{25 \div 25}{100 \div 25} \\ \\ = \frac{1}{4} \)

Hope this helps you.

Let me know if you have any other questions:-):-)

Uhm... I’m sorry I don’t really know the answer to your question I’m just answering it for points....

Answer:

x = 1

it's a horizontal line

Answer:

for 1 round it is 220m

ii) 440m

iii) 660m

just multiply number of rounds with the perimeter

Step-by-step explanation: