your recipe makes 24 t mayonnaise. Each sandwich requires 2.5 t of mayonnaise. How many sandwiches can you make in 1 recipe ​

The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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Answer:

independent events

Step-by-step explanation:

dependent is when the previous event affects the outcome of the next event.

Ex: When I draw a card without replacement at first I will have 52 cards. Once I draw the card, I will have only 51 cards to choose from.

Independent event is when the outcome is not related.

Example like the problem given to you

Answer:

14x-2 is answer

Step-by-step explanation:

may be this is helpful!

The Composite Area of the given figure is: 63 ft²

The formula for the area of a rectangle is:

A = L * W

where:

L is Length

W is Width

The formula for the area of a triangle is:

A = ¹/₂bh

where:

b is base

h is height

Thus:

Composite Area = (7 * 7) + (¹/₂ * 7 * 4)

Composite Area = 49 + 14

Composite Area = 63 ft²

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Answer: 3,-8,-10

Step-by-step explanation:

The probability that a randomly chosen customer who likes cake also likes pie is 2/3 or 0.6

To find the probability that a customer who likes cake also likes pie, we need to look at the overlap between the cake and pie circles in the Venn diagram. The diagram shows that 10 customers like both cake and pie, out of a total of 25 customers surveyed.

So, the probability that a randomly chosen customer who likes cake also likes pie is:

P(pie | cake) = number of customers who like both cake and pie / number of customers who like cake

P(pie | cake) = 10/15

P(pie | cake) = 2/3

Therefore, the probability that a randomly chosen customer who likes cake also likes pie is 2/3 or 0.67.

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Answer: 2/3

Step-by-step explanation:

Answer:

3x^3 +13x^2 - 36x + 10.

Step-by-step explanation:

Area = length * width

= (3x - 5)(x^2 + 6x - 2)

= 3x(x^2 + 6x - 2) - 5)(x^2 + 6x - 2)

= 3x^3 + 18x^2 - 6x - 5x^2 - 30x + 10

=  3x^3 + 13x^2 - 36x + 10.

SOLUTION

Leo is making a statue. He wants to use 2cm to represent 3m for the statue because it will be difficult making a whole of 93 meters. So to minimize the stress and cost, he dicided to use 2cm for each 3m of the statue of liberty.

Now to find how tall Leo's statue would be, we simply compare the ratios.

That is the measurement of the statue to that of Leo's

This will help you to determine Leo's statue. Ratio for the staue = Ratio for that of Leo's measurement

Therefore Leo's model would be 62 cm tall

The correct answer is option D. We can be 95% confident that the sample proportion is captured by the confidence interval.

The margin of error of plus or minus three percentage points at a 95% confidence level means that the true proportion of people who jog regularly in the population is estimated to be between 15% and 21%. We can be 95% confident that the true proportion of people who jog regularly falls within this interval.

Therefore, option B is correct. Option A is incorrect because it implies that the margin of error always holds true for any sample size, which is not the case. Option C is incorrect because it presents a range of values for the population, not for the estimate. Option E is incorrect because it refers to the proportion of samples that would find the same sample proportion, not the range of values within which the true proportion lies.

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Square tile with measure of each side is 16inches have area equals to 1652 centimeters( round off to nearest square centimeters).

As given in the question,

Measure of each side length of a square tile = 16 inches

Conversion

1 inch = 2.54 centimeters

16 inches = ( 16 × 2.54 )centimeters

                = 40.64centimeters

Area of a square tile is :

= ( Side length ) × ( Side length)

= (40.64) × (40.64)

= 1651.6096 centimeters

= 1652 centimeters ( round off to nearest square centimeters)

Therefore, the area of a square tile with given measure of each side is equal to 1652 centimeters ( round off to nearest square centimeters).

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Answer:

just do 130 +5x+19=180

Answer:

Step-by-step explanation:

180° = 130°+5x+10

180 = 140+5X

-140 -140

40 = 5X

/5 /5

8 = X

It's C

We can't have D because the circles are shaded in, meaning x can equal 2 & 7. Plus, the symbol is not in our 2x² - 18x < -28. A less than or greater than symbol.

(graph from desmos graphing calculator)

Hope this helps!

The original cost of the car was $12,935.74 (rounded to the nearest $100).

(a) To find the depreciation rate for a car that originally cost $20,000 and is worth $12,000 after 4 years, we can use the formula:

\(C = (1 - r)^n * C_0\)

where C is the value of the car after n years, C_0 is the original cost of the car, and r is the yearly depreciation rate.

Plugging in the values given, we get:

\(12,000 = (1 - r)^4 * 20,000\)

Solving for r, we get:

\(1 - r = (12,000/20,000)^(1/4) = 0.8185\)

r = 1 - 0.8185 = 0.1815

The depreciation rate for the car is 18.2% (rounded to the nearest tenth of a percent).

(b) To find the original cost of a car that has a yearly depreciation rate of 11% and is worth $10,000 after 2 years, we can use the same formula:

\(C = (1 - r)^n * C_0\)

Plugging in the values given, we get:

\(10,000 = (1 - 0.11)^2 * C_0\)

Solving for C_0, we get:

\(C_0 = 10,000 / (0.89)^2 = $12,935.74\)

The original cost of the car was $12,935.74 (rounded to the nearest $100).

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\(\huge\text{Hey there!}\)

\(\mathsf{f(x) = -3x}\\\\\mathsf{f(x) = -3(5)}\\\\\textsf{Picture your equation is showing you: }\mathsf{-3\times5}\textsf{ and that should give you the answer}\\\textsf{for your function \boxed{\mathsf{f(x)}} also known as your y-value}\\\\\mathsf{f(x) = -3\times5}\\\\\mathsf{f(x) =-15}\\\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{x = -15}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

If what you typed in what correct I got -6

Step-by-step explanation:

Answer: BIDEN 2020! TRUMP DESTROYED OUR NATION

Explanation: 8 MORE DAYS LEFT!

To find the word-length 2's complement representation of each of the following decimal numbers, we can follow the steps below:a) 54.

In order to convert 54 to a 2's complement representation, we have to take the following steps:Convert 54 to binary form.54 / 2 = 27 remainder 1 (LSB)27 / 2 = 13 remainder 1 13 / 2 = 6 remainder 1 6 / 2 = 3 remainder 0 3 / 2 = 1 remainder 1 1 / 2 = 0 remainder 1 (MSB)So, 54 in binary form is 00110110.

Add leading zeroes to make up 8 bits.00110110 → 00110110We don't need to take the 2's complement of this binary representation because 54 is positive. The word-length 2's complement representation of 54 is simply 00110110.b) -10:

To convert -10 to a 2's complement representation, we have to take the following steps:Convert 10 to binary form.10 / 2 = 5 remainder 0 (LSB)5 / 2 = 2 remainder 1 2 / 2 = 1 remainder 0 1 / 2 = 0 remainder 1 (MSB)So,

10 in binary form is 00001010.Take the 1's complement of this binary representation.00001010 → 11110101Add 1 to this 1's complement.11110101 + 1 = 11110110 Add leading zeroes to make up 8 bits.11110110 → 11110110,

the word-length 2's complement representation of -10 is 11110110.In conclusion, we found the word-length 2's complement representation of 54 to be 00110110 and the word-length 2's complement representation of -10 to be 11110110.

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The number of people are 72.

Highest Common Factor is the full name for HCF in mathematics.

According to the laws of mathematics, the highest positive integer that divides two or more positive integers without leaving a residual is known as the greatest common divisor, or gcd.

Least Common Multiple is the full name for LCM in mathematics.

LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM.

We need to know the size of the pieces in order to calculate how many people can be fed equal-sized pieces of cake from a 16 by 18-inch cake.

Assume that each piece is a square with sides measuring "x" in length. Each piece's area would be x², and the cake's overall area would be 16 x 18 inches, or 288 square inches.

We must divide the entire area of the cake by the area of each piece to determine the maximum number of pieces that can be cut from the cake:

288 / x² = (16*18) / x² = 288 / x²

Choosing a "x" value that evenly splits into 16 and 18 is necessary if we want every piece to be the exact same size. Since 2 is the greatest possible value, we can divide the cake into 8 rows of 9 squares, yielding a total of 72 pieces.

As a result, a cake measuring 16 inches by 18 inches can be divided into 72 equal-sized pieces, each measuring 2 inches by 2 inches.

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We can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane.

To find out how many people can be served equal-sized pieces of cake from a cake that is 16 inches by 18 inches, we need to first determine the size of each piece of cake.

The total area of the cake is:

16 inches x 18 inches = 288 square inches

To divide the cake into equal-sized pieces, we need to determine the size of each piece. Let's assume we want each piece to be a square. To find the size of each square, we need to find the square root of the total area of the cake:

√(288 square inches) ≈ 16.97 inches

Since we want the pieces to be exactly the same size, we'll round down to the nearest inch, which gives us:

Each piece of cake will be approximately 16 inches by 16 inches.

To find out how many people can be served equal-sized pieces of cake, we need to divide the total area of the cake by the area of each piece:

288 square inches ÷ (16 inches x 16 inches) = 18

Therefore, we can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

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Answer:

3\5

Step-by-step explanation:

Answer:

lemm e know if you need more help

Step-by-step explanation:

Expanding the expression (C+8)(8C+2), we get:

(C+8)(8C+2) = 8C^2 + 2C + 64C + 16

= 8C^2 + 66C + 16

Therefore, (C+8)(8C+2) simplifies to 8C^2 + 66C + 16.

Given:-

To find:-

Answer:-

We need to write (c+8)(8c+2) as a polynomial in standard form. As we know that the standard form of a polynomial is ,

\(\implies p(x)= a_n x_n + a_{n-1}x^{n-1} + a_{n-2} x^{n-2} \dots \\\)

where ,

So we can expand the given expression as ,

\(\implies (c+8)(8c+2)\\\)

\(\implies c(8c+2) + 8(8c+2) \\\)

\(\implies 8c^2 + 2c + 64c+ 16 \\\)

\(\implies \underline{\underline{8c^2+66c + 16}}\\\)

This is the polynomial in standard form.

and we are done!

Answer:

12

Step-by-step explanation:

Divide both sides by 6 to isolate x

Answer:12

Step-by-step explanation:

divide 6 from 72

Answer:

V(t)= 900(0.8) ^t

Step-by-step explanation:

900\(x^{3}\)=460.8

      \(x^{3}\)=0.512

        x=0.8

Answer:

b

Step-by-step explanation:

Given that:

7 less than the quotient of a number X and twelve is five times the number

The quotient is the result after dividing one number by another.

Therefore,

7 less than the quotient of a number X and 12 =

Is five times the number:

ANSWER:

The correct answers are :

y=-1/2x+5 is parallel.

-2x+y=-4 is perpendicular.

-x+2y=2 is neither.

x+2y=2 is parallel.

It is argued that two non-vertical lines in the same plane that have the same slope are parallel.

In terms of geometry, parallel lines are two separate lines that never cross each other and are located in the same plane. They may be vertical or horizontal. Examples of parallel lines can be found all around us on railroad tracks, in lines of notebooks, and at zebra crossings in daily life. It is impossible for two parallel lines to cross. Perpendicular lines are those that cross at a right angle when two non-vertical lines in the same plane.

Perpendicular lines are two different lines that cross at a right angle of 90 degrees.

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Answer: B because it's the absolute opposite of 3x. This means that 3/1 flipped over is 1/3 and the opposite of a positive is a negative.

m∠1 = m∠5, because alternate exterior angles are congruent.

Angles formed by intersecting two parallel lines with a transversal are known as angles in parallel lines.

Given:

lines a and b intersect a transversal, c.

The pair of angles on the outside of the two parallel lines but on the other side of the transversal are known as alternate exterior angles.

m∠1 = m∠5 (Alternate exterior angles are congruent)

m∠1 = m∠5, because alternate exterior angles are congruent.

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