A table is on sale for 74% off. The sale price is $202.80. What is the regular price?

The number of cannonballs in illustration is 506.

Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.

The number of cannonballs in the first layer = 1² = 1

Number of cannonballs in the second layer = 2² = 4

Number of cannonballs in the third layer = 3² = 9

So, the generalized formula to count the balls is given as

= n(n + 1) (2n + 1)/ 6

Here, n= the total number of layers

Put n =11

11(11 + 1)(2(11) + 1) / 6

= 11(12)(23)/6

= 3036/6
= 506

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Answer:

a. look attachment

b.

i. P(choclate)

ii. P(mints)

Answer:

\(\frac{193}{15}\)

Step-by-step explanation:

Here

Answer:

M=11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

To find the midpoint ( or middle) we take the average of the endpoints

(A+B)/2 = (0+22)/2 = 22/2 = 11

Answer:

60

Step-by-step explanation:

50-22=28

28+18+14=60

Salvatore has 60 trading cards.

(Hope this helps)

After all the exchanges, Salvatore ends up with 60 trading cards.

Let's break down the information given in the problem step by step and represent it using math:

Salvatore starts with 50 trading cards.

He gives 22 cards to Madison. This means his number of cards reduces by 22:

Initial cards - Cards given to Madison = 50 - 22 = 28 cards.

Madison gives 18 cards back to Salvatore. This means his number of cards increases by 18:

Remaining cards + Cards received from Madison = 28 + 18 = 46 cards.

Salvatore's sister gives him 14 cards. This means his number of cards increases by 14:

Total cards + Cards received from sister = 46 + 14 = 60 cards.

So, after all the exchanges, Salvatore ends up with 60 trading cards.

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Answer:

Step-by-step explanation:

To classify the quadrilateral formed by the given points, we need to find the length of each side and the measure of each angle.

Using the distance formula, we can find the length of each side:

AB = sqrt((4 - (-3))^2 + (2 - 1)^2) = sqrt(49 + 1) = sqrt(50)

BC = sqrt((9 - 4)^2 + (-3 - 2)^2) = sqrt(25 + 25) = 5sqrt(2)

CD = sqrt((2 - 9)^2 + (-4 - (-3))^2) = sqrt(49 + 1) = sqrt(50)

DA = sqrt((-3 - 2)^2 + (1 - (-4))^2) = sqrt(25 + 25) = 5

Using the slope formula, we can find the measure of each angle:

Angle ABC: m1 = (2 - 1)/(4 - (-3)) = 1/7

m2 = (-3 - 2)/(9 - 4) = -1/5

tan(ABC) = |(m2 - m1)/(1 + m1m2)| = 3/4

ABC = arctan(3/4) ≈ 36.87°

Angle BCD: m1 = (-3 - 2)/(9 - 4) = -1/5

m2 = (-4 - (-3))/(2 - 9) = 1/7

tan(BCD) = |(m2 - m1)/(1 + m1m2)| = 3/4

BCD = arctan(3/4) ≈ 36.87°

Angle CDA: m1 = (-4 - 1)/(2 - (-3)) = -1

m2 = (1 - (-3))/(-3 - 9) = 1/2

tan(CDA) = |(m2 - m1)/(1 + m1m2)| = 7/5

CDA = arctan(7/5) ≈ 54.46°

Angle DAB: m1 = (1 - (-4))/(4 - (-3)) = 5/7

m2 = (-4 - (-3))/(-3 - 2) = 1/5

tan(DAB) = |(m2 - m1)/(1 + m1m2)| = 3/4

DAB = arctan(3/4) ≈ 36.87°

Therefore, the quadrilateral formed by the given points is a kite, because adjacent sides are congruent and one diagonal bisects the other diagonal at a right angle.

Answer:

(1 , -2)

Step-by-step explanation:

The intersecting point of two lines is the solution

Answer: X→1(first blank) Y→-2(second blank) and or (1,-2)

a. The approximate value of the y-intercept is

b. The approximate value of the slope is

c. The expected number of cones of ice cream when the temperature is 30°C is 90°C.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (100 - 60)/(45 - 5)

Slope (m) = 40/40

Slope (m) = 1

At data point (5, 60) and a slope of 1, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 60 = 1(x - 5)  

y = x - 5 + 65

y = x + 60

Part a.

Based on the equation above, the y-intercept is equal to 60.

Part b.

Based on the equation above, the slope is equal to 1.

Part c.

In this scenario, the expected number of cones of ice cream when the temperature is 30°C;

y = x + 60

y = 30 + 60

y = 90°C.

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Given equation:

The general expression for a parabola equation in vertex form:

Where the axis of the parabola is the x-axis and the origin is zero

Writing the equation in vertex form takes the following steps:

1. Re-arrange the equation:

Factoring out:

Re-arranging further:

Hence, the equation of the parabola is Option C

Answer:

Range:y\(\leq\)5

Step-by-step explanation:

Since y is always less than 5, y cannot be equal to it since the highest value of y was about 4.

Working with the given percentages, we will get:

Here we need to work with percentages.

Let's say that X is last year's attendance. We know that 270 is the 125% of last year's attendance, then we will have the relation:

X*(125%/100%) = 270

X*1.25 = 270

X = 270/1.25 = 216

This means that last year's attendance was of 216 people.

The 25% of that is:

216*(25%/100%) = 216*(0.25) = 54

then we can complete the 3 blanks as:

125% of last year's attendance = 270

25% of last year's attendance = 54

100% of last year's attendance = 216

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C) 2.5 kHz, C) 15, A) 101010, D) CA35, A) (A), A) XOR, B) Exclusive OR, A)True, A) (A + B)C, B) Variable complements can be eliminated by using Karnaugh maps.

K-maps, commonly referred to as Karnaugh maps, are visual tools for simplifying digital circuits and Boolean algebraic formulas. In order to make Boolean functions simpler for use in digital electronics, Maurice Karnaugh first presented them in 1953. K-maps are used to consolidate terms with similar values and get rid of extraneous terms in the truth table of a Boolean function. With a grid of cells corresponding to all conceivable combinations of binary input values, the map is a two-dimensional representation of a truth table. Depending on the truth value of the relevant word in the truth table, the cells in the grid are either filled with 0s or 1s.

The fundamental benefit of employing Karnaugh maps is that they give the Boolean expression a visual representation, making it simpler to spot patterns and understand the expression. They can also be used to check the accuracy of the final expression and find flaws in digital circuits. Karnaugh maps can be used to quickly and effectively simplify complicated digital circuits, which cuts down on the time and effort needed for circuit design.

Karnaugh maps are perfect for designing and optimizing digital circuits because they may be used to simplify big or complex Boolean statements. For more effective and efficient results, they can be combined with other digital design tools, such as logic gates.

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Answer:

The shoes would cost $46.24

Step-by-step explanation:

68 x 0.15 = 10.2

68 - 10.2 = 57.8

57.8 x 0.20 = 11.56

57.8 - 11.56 = 46.24

Answer:

Step-by-step explanation:

it would be "c" because the question asks for the number that makes the inequality true

4x≤ x+3

the graph in c is saying that every number that is 1 or less than 1 makes the inequality true. so lets take -7 as an example

4 x -7=-28

-28+3=-25

-25 is greater than -28 so the inequality is true. the reason why graph d doesnt work is because if we plug in 2 into the equation, then 4x =8 and x+3=5

5 is not greater than 8 so it doesnt work

The height of the hexagonal-based pyramid is approximately 101.61 inches.

To find the height of the hexagonal-based pyramid, we can use the formula for the volume of a pyramid:

Volume = (1/3) × Base Area × Height

In this case, the base of the pyramid is a regular hexagon, and we have the side length (s) and apothem (a) given.

The base area of a regular hexagon can be calculated using the formula:

Base Area = (3√3/2) × s²

Let's calculate the base area first:

Base Area = (3√3/2) × (6 in)²

Base Area = (3√3/2) × 36 in²

Base Area ≈ 93.53 in²

Now, we can rearrange the volume formula to solve for the height:

Height = Volume / ((1/3) × Base Area)

Height = 3168 in³ / ((1/3) × 93.53 in²)

Height = 3168 in³ / (31.177 in²)

Height ≈ 101.61 in

Therefore, the height of the hexagonal-based pyramid is approximately 101.61 inches.

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76

Step-by-step explanation:

just divide 6080 by 80 and you get 76

Answer:

Do the math

Step-by-step explanation:

If you do the math you get answer

Answer:

Let a be the larger number

Let b be the smaller number

A= b+7

Step-by-step explanation:

Hope this helps :) Have a great day!!!

By creating a General Court made up of delegates from each town in the colony, this document reflects the principle of: D. republicanism.

Federalism simply refers to a form of government in which the federal government and other institutional bodies such as states, towns, smaller units, and provinces share power and authority.

Republicanism can be defined as a form of government that is centered around citizenship in a state and emphasizes their participation for the common good of a geographical area such as states, towns, and other smaller units in a colony.

This ultimately implies that, republicanism involves citizens selecting their representatives (delegates) from each town in a colony, especially through an electoral process such as in Article 8, Fundamental Orders of Connecticut.

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Answer:

republicanism

Step-by-step explanation:

Answer:

∠ W = 53°

Step-by-step explanation:

the measure of the secant- secant angle W is half the difference of the measures of the intercepted arcs , that is

∠ W = \(\frac{1}{2}\) (YC - GT) = \(\frac{1}{2}\) (160 - 54)° = \(\frac{1}{2}\) × 106° = 53°

The minimum amount of plastic wrap needed to completely wrap 8 containers is  794. 4 in². Option D

The area of each circular end is:

A = πr²

A = 3.14 × (2.75)²

A = 23.68in²

The area of the rectangular side is:

A = h * circumference

circumference = 5.5in * π

circumference = 17.27in

Using the given height of 3 inches, we get:

A = 3in * 17.27

A = 51.81in²

Therefore, the total surface area of each container is:

A = 2 * 23.68 + 51.81

A = 98.17in²

To wrap 8 containers, we need to multiply the surface area of each container by 8:

Total surface area = 8 × 98.17

Total surface area = 794. 4 in²

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Answer:

They are both wrong

Step-by-step explanation:

exponents are repeated multiplication. so it would be 2*2*2*2... that 28 times.

99.4% chance that you are healthy if you receive a negative test. 67.9% chance that you are sick if you receive a positive test.

14% of population would test positive for the disease

Step 1. Give algebraic names to various events described:

Step-2: Model the given situation mathematically.

In other words, the conditional probability of the event that the diagnostic test gives a negative result (not A), given that the tested person does not have the disease (E2 = not E1) is given to be 90%

Thus P(not A/E2)=90%

Further, it is given that five percent of the population has the disease. In other words, the event that a person has the disease (E1) has the probability of 5% Thus P(E1)=5%

It is needed to find what percent of that population would test positive for the disease.

Thus, the probability that a person will have a positive result when tested, P(A) is to be determined.

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Answer: 4.8 this is on a school site so i know this because i used the other persons answer and it marked me wrong.

On solving the provided question, by the help of BODMAS we can say that - Subtract 22 from both sides is the answer to the given question.

BODMAS and PEDMAS are both names for it in various places. This stands for exponents, parenthesis, division, multiplication, addition, and subtraction. The BODMAS rule states that parentheses must be answered before powers or roots (that is, of), divisions, multiplications, additions, and lastly subtractions. The BODMAS rule states that the degree (52 = 25), parenthesis (2 + 4 = 6), any division or multiplication (3 x 6 (bracket response) = 18), and any addition or subtraction (18 + 25 = 43) come before any other operations.

\(f/3 +22 = 17\)

\(f/3 +22 -22 = 17 -22\) Subtracting the same value from both sides keeps the equation equal.  

Then simplify. The \(+22 and -22= 0\) They "cancel"   \(17-22 = -5\)

\(f/3 = -17 f/3\) is now isolated-- by itself-- in the equation.

If we have to solve  f, the next step we to take is to multiply on the both sides by  3.

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A construction of a right-angled isosceles triangle whose equal side measure 2 cm is shown in the image attached below.

In Mathematics, an isosceles right triangle can be defined as a type of  right-angled triangle in which two (2) of its side lengths are equal and one of its angle is a right angle.

Generally speaking, the steps that are required for the construction of a right-angled isosceles triangle include the following:

In conclusion, triangle ABC (ΔABC) is the required right-angled isosceles triangle as shown in the image attached below.

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the answer

3. k>4

step by step

Answer:k>4

Step-by-step explanation: I got it right on the test :)

Travis' famous letter, addressed to "The People of Texas and All Americans in the World," in which he passionately appealed for reinforcements and vowed to "never surrender or retreat," has become a symbol of the fortitude and sacrifice displayed by the Texan defenders at the Alamo.

The commander of the Texan forces at the Alamo during the famous battle in 1836 was Colonel William B. Travis. Travis, a lawyer and soldier, was chosen as the leader of the Texan garrison at the Alamo, a former mission turned fortress in San Antonio, Texas. He assumed command of the Texan forces in early 1836 and played a crucial role in the defense of the Alamo against the Mexican army led by General Santa Anna.

Travis and his men, along with notable figures such as James Bowie and Davy Crockett, bravely defended the Alamo against overwhelming odds for thirteen days. Despite their courage and determination, the Texan defenders were ultimately overrun by the Mexican forces on March 6, 1836, and suffered heavy casualties, including the deaths of Travis, Bowie, and Crockett.

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