1.2.1 The number of pieces of ropes for FIVE cuts. 1.2.2 The general formula (Ta), for the number of rope pieces. 1.2.3 How many rupe cuttings will make up 153 rope pieces? 1.2.4 How many ropes pieces will result from 11 cuttings? 5 Please tu

The number of coffee mugs that can be made is 12.

From the information, the pottery studio has 11 pounds of clay and it It takes 7/8 of clay to make a coffee mug.

The number of coffee mugs that can be made will be:

= Number of pounds of clay / Fraction used for each mug

= 11 / 7/8

= 11 × 8/7

= 88 / 7

= 12

There'll be 12 coffee mugs.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

Answer:

Step-by-step explanation:

area=l*w

(x+4)(x-4)

x^2-16 (use foiling)

Answer: m = 24

Step-by-step explanation:

The right side of the table is the x value, and the left side is the y value.

Pick two points, I will pick (1,35) and (3,83).

Once you pick the points, input them in the rise over run formula:

y2-y1/x2-x1

83-35/3-1 = 48/2 = 24

The person that has the higher average speed is Teresa.

Average speed is calculated by dividing the total distance that something has travelled by the total amount of time it took it to travel that distance.

Therefore, Karl drove 40 miles in 50 minutes and Teresa drove 35 miles in 42 minutes.

The person that has the higher average speed can be calculated as follows;

average speed of Karl = distance / time

average speed of Karl = 40 / 50

average speed of Karl = 4 / 5 miles per minutes

average speed of Teresa = distance / time

average speed of Teresa = 35 / 42

average speed of Teresa = 5 / 6 miles per minutes

Therefore, Teresa had the higher average speed.

learn more on average speed here: https://brainly.com/question/9802724

#SPJ1

for the square root you must look for a number that multiplied with itself gives you the indicated value

for this case a number that multiplied by itself gives you 100

sothe square root of 100 is:

The improper fraction equivalent of the fraction 2 1/4 is 9/4.

Improper fraction:

Basically, the improper fraction is also the fraction where the numerator is greater than or equal to the denominator.

Given,

Here we have the mixed fraction 2 1/4.

And we have to convert this mixed fraction into improper fraction.

The conversion from mixed fraction to an improper fraction will follow the following formula,

numerator = (denominator × whole number) +  numerator of mixed fraction

Based on the this rule, the numerator of the improper fraction is,

=> numerator = (4 x 2) + 1

=> numerator = 8 + 1

=> numerator = 9

The denominator will remain same.

Therefore, the resulting improper fraction is 9/4.

To know more about Improper fraction here.

https://brainly.com/question/21449807

#SPJ1

Answer:

7

Step-by-step explanation:

Answer:

a) Difference of squares:

[tex]10000 - {x}^{2} [/tex]

b) The area of the parking lot decreases because x^2 is subtracted from 10,000.

[tex]10000 - {1}^{2} = 10000 - 1 = 9999[/tex]

[tex]10000 - {2}^{2} = 10000 - 4 = 9996[/tex]

A. 7658.8 hr/year

B. 4.082 hr/year

C. 99206 kwh

Moreover, The annual average wind speed was calculated directly at 4.56 m/s. Using the Weibull distribution, the annual wind speed is 4.55 m/s, while using the Rayleigh distribution it is 4.523 m/s. The annual wind power density was directly calculated to be 114.54 W/m2.

You can learn more about this through link below:

https://brainly.com/question/22610586#SPJ4

Using the law of sines, supposing C = 30º, the angle of each observer with the sailboat is:

Suppose we have a triangle in which:

The lengths and the sine of the angles are related according to the following rule:

[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]

The measure of angle B is found as follows:

sin(B)/10 = sin(C)/20

sin(B)/10 = 0.5/20 (sin(C) = 0.5)

sin(B) = 5/20

sin(B) = 0.25

B = arcsin(0.25)

B = 14º.

The measure of angle A is found as follows:

sin(A)/25 = sin(C)/20

sin(A)/25 = 0.5/20 (sin(C) = 0.5)

sin(A) = 12.5/20

sin(A) = 0.625

A = arcsin(0.625)

A = 136º.

The problem is incomplete, hence we suppose that the angle C is of 30º and problem asks for the angle measure of each angle.

(drawing is not to scale).

More can be learned about the law of sines at https://brainly.com/question/4372174

#SPJ1

The probability that one or more of them tests negative is 0.85.

Probability is defined as the likeliness of an event to occur. The probability of any event to occur ranges from 0 to 1, and the sum of all the probabilities of all the events happening is 1.

If Marv and Patricia will each take a Covid test, then the events that will occur are : both will test positive, both will test negative, or one of them will test negative.

Based on the given information, the probability that both will test positive is 0.15. Subtract it from 1 to and get the probability that one or more of them tests negative.

probability = 1 - 0.15

probability = 0.85

Learn more about probability here: https://brainly.com/question/6649771

#SPJ4

Answer:

D. g(n)=2100(0.7)^nD. g(n)=2100(0.7)^

Explanation:

• The purchase price, i.e. the initial value of the computer = $2100.

• The rate at which its value reduces = 30%.

To determine the computer's value after n years of use, we use the depreciation formula below:

In this case:

• The Principal, P = $2100

• The rate, r = 30%

Substitute these values into the formula.

The function g(n) that represents the value of the computer after n years of use is Option D.

Answer:

the last choice is the 6th term of expression

Step-by-step explanation:

all the work and steps is in the pic go check it out sorry if wrong and have a  wonderful day:)

Answer:

Step-by-step explanation:

See attached graph

Two pints selected are:

2 packages = $6

5 packages = $6.80

( x - 2) ( x - 4 ) is function which is equal to g(x) .

In the simplest terms, what is a function?

f(x) = x² - 1

f( x - 3 ) = ( x - 3 )² - 1

             = x² + 9 - 6x -1

             = x² -6x + 8

             = x² -4x -2x + 8

             = x( x - 4 ) -2( x - 4)

             = ( x - 2) ( x - 4 )

g(x) = f(x - 3)

       = ( x - 2) ( x - 4 )

Learn more about function

brainly.com/question/12431044

#SPJ13

The factors of the quadratic equation 5x^2 + 44x - 9 are (5x - 1) and (x + 9)

In Mathematics, factorization or factoring is defined as the breaking or decomposition of an entity (for example a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together give the original number or a matrix, etc.

In the given question, we can factorize 5x^2 + 44x - 9 by finding two factors that when they multiply will give us the original polynomial.

The factor for this polynomial or quadratic equation are (5x - 1)(x + 9).

This can be summarized as the factorization of 5x^2 + 44x - 9 is (5x -1)((x+ 9)

Learn more on factorization here;

https://brainly.com/question/24734894

#SPJ1

Answer:

  72 cm²

Step-by-step explanation:

You want the area of a shape consisting of a rectangle and a triangle. The rectangle is 7 cm long and 8 cm high. The triangle has a base of 8 cm and a height of 4 cm.

The area of the rectangle is ...

  A = bh

  A = (8 cm)(7 cm) = 56 cm²

The area of the triangle is ...

  A = 1/2bh

  A = 1/2(8 cm)(4 cm) = 16 cm²

The total area is the sum of the areas of the parts:

  total area = rectangle area + triangle area

  = (56 cm²) +(16 cm²) = 72 cm²

The area of the shape is 72 cm².

__

Additional comment

You can see from the area formula that the area of a triangle is half the area of its enclosing rectangle. That is, the 4 cm high triangle on the right side of the figure effectively adds the area of a 2 cm  wide rectangle with the same base.

The figure's area is equivalent to that of a rectangle 7+(4/2) = 9 cm wide and 8 cm high: (9 cm)(8 cm) = 72 cm², as above.

<95141404393>

It is to be noted that, given the dilation factor stated above, the coordinates of S' is (4, 3).

The mathematical Definition of Dilation is given as a transformation that allows you to resize an object. Dilation is a technique for making items bigger or smaller. This transformation yields a picture that is identical to the original shape. However, there is a size discrepancy in the form.

The computation for the above result is given as follows:

Given that RST has vertices R(0,0), S(6, 3), and T(3, -3); and

The image R'S'T' is the image of RST after a dilation with center (0,0) with scale factor 2/3,

We must determine the coordinates of point S'.

The coordinates of S' can be determined by multiplying both the x and y - coordinates of the point S with the scale factor 2/3.

Let us look at x- coordinate with point S and multiply it with the scale factor of 2/3.

we have: 6 x 2/3 = 4

Hence, x- coordinate for S' = 4

Redo for Y

3 x 2/3 = 3

Hence, y- coordinate for S' = 3

Hence the coordinates of S' is (4, 3).

Hence having applied the principle of dilation, the coordinates of S' are (4,3)

Learn more about dilation:
https://brainly.com/question/3457976
#SPJ1

The value of x in the triangle is 17 degrees.

A triangle is a polygon with three sides and angles.

The sum of angles in a triangle is 180 degrees.

Therefore, ABC is a triangle and CDE is a also a triangle.

Let's find the angle x in the triangle CDE.

Hence,

∠ACB = 180 - 4x - 49 (sum of angles in a triangle is 180 degrees)

∠ACB =  180 - 49 - 4x

∠ACB = 131 - 4x

Therefore,

180 = ∠DCE  + ∠DEC  + ∠CDE  

∠CDE   = 100°

∠DEC = x

∠DCE = ∠ACB = 131 - 4x

Hence,

180 = 131 - 4x + x + 100

180 = 231 - 4x + x

180 - 231 = -3x

-51 = -3x

divide both sides by -3

x = -51 / -3

x = 17

Therefore,

x = 17

learn more on triangle and angles here: https://brainly.com/question/3143922

#SPJ1

Using the mathematical operation of division, Mrs. Doctor can fill 15 mugs using 10 cups.

The division operation is one of the basic mathematical operations.

The division operation involves using the divisor to divide the dividend, which results in a quotient.

For instance, since the pot holds 10 cups and the distribution is 2/3 cups for each mug, we can divide 10 cups by 2/3 cups to get 15 mugs.

The quantity of hot chocolate for each mug = 2/3 cups

The total number of cups that the pot holds = 10 cups

The number of mugs that can be filled from 10 cups = 15 (10 ÷ 2/3)

Thus, we can divide 10 cups by 2/3 cups to get the number of mugs Mrs. Doctor can fill.

Learn more about mathematical operations at https://brainly.com/question/20628271

#SPJ1

Answer:

c = 3t + 11  

t = time in the lot

c = total cost

4 hours the cost will be $23

Step-by-step explanation:

Cost for 4 hours.

c = 3t + 11

c = 3(4) + 11

c = 12 + 11

c= $23

The sigma notation for the sequence 22, 28, 34, 40, 46 is as follows:

[tex]\sum_{n = 0}^{n = 4} 22 + 6n[/tex]

A sequence is represented in sigma notation according to the following rule:

[tex]\sum_{n = 0}^{n = N-1} a + bn[/tex]

In which the parameters are described as follows:

In the context of this problem, the sequence is:

22, 28, 34, 40, 46.

Hence the values of these parameters are given as follows:

Hence the sigma notation of the sequence is given by:

[tex]\sum_{n = 0}^{n = 4} 22 + 6n[/tex]

More can be learned about the sigma notation of a sequence at https://brainly.com/question/17000819

#SPJ1

The given inequality is expressed as

The first step is to collect like terms. Thus, we have

We would find x by dividing both sides of the inequality by - 5. Since - 5 is negative, the inequality symbol would be reversed. Thus, we have

88cm² is the area of the trapezoid in the diagram.

This question is incomplete, the missing diagram is uploaded along the answer below below.

A trapezoid is simply a quadrilateral with at least one pair of parallel sides.

The area of a trapezoid is expressed as;

A = 1/2 × ( a + b ) × h

Where a is length of base a, b is length of base b and h is the height.

Given the data in the diagram;

To determine the area of the trapezoid, plug the given lengths into the above formula and solve for A.

A = 1/2 × ( a + b ) × h

A = 1/2 × ( 8cm + 14cm ) × 8cm

A = ( 8cm + 14cm ) × 1/2 × 8cm

A = ( 22cm ) × 4cm

A = 88cm²

Therefore, the area is 88 square centimeters.

Option C is the correct answer.

Learn more about area of trapezoid here: https://brainly.com/question/12623349

#SPJ1

The cost of x servings of dressing in dollars will be $0.43x.

According to the question,

We have the following information:

Each serving of salad dressing uses 3 tablespoons of olive oil and 1 tablespoon of vinegar.

Cost of 1 tablespoon of olive oil = $0.13

Cost of 1 tablespoon of vinegar = $0.04

So,

The cost of each serving of salad = Cost of 3 tablespoons of olive oil + cost of 1 tablespoon of vinegar

The cost of each serving of salad = 3*0.13 + 0.04

The cost of each serving of salad = $(0.39+0.04)

The cost of each serving of salad = $0.43

Now,

The cost of x servings of salad = $0.43x

(Note that if we have to find the cost of more than 1 product than the number has to be multiplied with the cost of one product.)

Hence, the cost of x servings of salad dressing is $0.43x.

To know more about cost here

https://brainly.com/question/15135554

#SPJ1

Answer:

-11

Step by step explanation:

-11+23=12