how many 3 fourths can you cut from a 6 in a half ft ribbon? explain ​

Answer:

Step-by-step explanation:

total interest paid is given as $4,643.46.

total payments = $429.95 x 36 months = $15,478.20

total lease payments = total payments - total interest

total lease payments = $15,478.20 - $4,643.46 = $10,834.74

Remaining balance = Total cost of the lease - Total lease payments

$23,495 - $10,834.74 = $12,660.26

Answer:

See below.

Step-by-step explanation:

Make a table with values at certain values of x from -2 to 2.

Write in the table f(x) and g(x), and then h(x).

Then, plot the points for h(x).

See the picture below.

Answer:

0

Step-by-step explanation:

The graph for y = 3x + 1 is given below

Two number lines combine to form a two-dimensional surface known as a coordinate plane. It is created when the origin, a point where the X- and Y-axes coincide, is crossed by a horizontal line. Points are located using the numbers on a coordinate grid. You can graph points, lines, and many other things using a coordinate plane. It serves as a map and provides clear directions between two points.

Y = 3 x -3+4

y = 3x +1

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The Value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC Therefore, AC is Congruent to c .

Since AC and BD bisect each other at O, we can say that AO = OC and BO = OD.

We need to prove that AC = CD.To do this, we can use the segment addition postulate which states that if a line segment is divided into two parts, the length of the whole segment is equal to the sum of the lengths of the two parts.

Let us draw a diagram to represent the given information:From the diagram, we can see that:AO + OB = AB (By segment addition postulate)OC + OD = CD (By segment addition postulate)AO = OC (Given)BO = OD (Given)

Now, we can substitute the values of AO and OC as well as BO and OD into the equations above:AO + OB = AB ⇒ OC + OB = AB (Substituting AO = OC)OC + OD = CDNow, we can add both equations:OC + OB + OC + OD = AB + CD ⇒ 2(OC + OD) = AB + CDWe know that OC = AO and OD = BO.

Therefore, we can write:2(AO + BO) = AB + CDSince AO = OC and BO = OD, we can write:2(OA + OD) = AB + CDNow, substituting AO = OC and BO = OD, we can write:2AC = AB + CD

Finally, we can substitute the value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC

Therefore, AC is congruent to c .

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f(x) is the quadratic function.  

g(x) is tripling its output for each 1-unit increase in x and g(x) = 3^x.

A quadratic function always grows more slowly than an exponential function.

So the best answer is:
f(x), because it grows slower than g(x)

Answer:

63.64%

Step-by-step explanation:

Let P(M) be the percentage of students enrolled in a mathematics course

Let P(C) be the percentage of students enrolled in a Computer Science (CS) course.

We are told that One-fifth of those taking a mathematics course arealso taking a computer science course.

Thus, we can write that as:

P(M|C) = 1/5,

We are also told that one-seventh of those taking a computer science course are also taking a mathematics course.

Thus, we can write it as;

P(C|M) = 1/7

According to sets notations, P(M ∩ C) will be the probability that any student is enrolled in both Maths and Computer Science.

Thus;

P(M ∩ C) = P(M|C)P(C) = (1/5)P(C)

Also,

P(M ∩ C) = P(C|M)P(M) = (1/7)P(M)

Equating them, we have;

(1/5)P(C) = (1/7)P(M)

P(C) = (5/7)P(M)

Now; P(M U C) = 1

Let's express out P(M U C)

P(M U C) = P(M) + P(C) - P(M ∩ C) = P(M) + (5/7)P(M) - (1/7)P(M) = (11/7)P(M)

1 = (11/7)P(M)

P(M) = 7/11 = 0.6364 or 63.64%

Answer:

            4  to  1

Step-by-step explanation:

                                                Tablespoon of cocoa   to Tablespoon of sugar

                                                                          8             :                2

                                                                          \(\frac{8}{2}\)              :                \(\frac{2}{2}\)

                                                                          4             to                1

When recipe is doubled:                             ( 8 x 2)         to        (2 x 2)

                                                                         16             :              4

                                                                         \(\frac{16}{4}\)             :               \(\frac{4}{4}\)

                                                                          4           to              1

It can be observed that the ratio remains the same

Answer:

sin=15/17

Step-by-step explanation:

Use the definition of sine to find the value of

sin (0)

sin (0) = opp/hyp

THEN

Substitute in the known values.

sin (0) = 15/17

The required value of trigonometric ratios is,

sin 45° = 1/\(\sqrt{2}\)

cos 30 = \(\sqrt{3}\)/2

tan 60 = 1/  √3

We know that,

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

Therefore,

sin 45° = 1/\(\sqrt{2}\)

cos 30 = \(\sqrt{3}\)/2

tan 60 = 1/  √3

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Answer:

U

Step-by-step explanation:

Allison's gray paint will be lighter.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol %.

percentage, a relative value indicating the hundredth parts of any quantity.

Here, number of white paint cups/ total number of cups is used to find the percentage

Allison:

Percent of white paint:

(2/3)*100= 66.67%

Alexander:

Percent of white paint:

(11/17)*100= 64.7%

Allison's Percent of white paint is more.

So, Allison's gray paint will be lighter.

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Answer:

Step-by-step explanation:

To find the area of the shaded region, we need to first find the x-coordinates of the points where the two functions intersect. We can set f(x) = g(x) and solve for x:

x^4 - 12x^3 + 48x^2 = 44x + 105

x^4 - 12x^3 + 48x^2 - 44x - 105 = 0

We can use a numerical method, such as the Newton-Raphson method, to approximate the roots of this equation. Using a graphing calculator or computer algebra system, we can find that the roots are approximately:

x = -1.932, x = 0.695, x = 4.149

Note that the root x = -1.932 is outside the given interval [3, 4], so we can ignore it.

The shaded region is bounded by the x-axis, the line y = 340, and the graphs of f(x) and g(x) between x = 3 and x = 4. To find the area of this region, we can integrate the difference between the two functions over this interval:

A = ∫3^4 [g(x) - f(x)] dx

A = ∫3^4 [44x + 105 - (x^4 - 12x^3 + 48x^2)] dx

A = ∫3^4 [-x^4 + 12x^3 - 48x^2 + 44x + 105] dx

We can integrate term by term using the power rule:

A = [-x^5/5 + 3x^4 - 16x^3 + 22x^2 + 105x]3^4

A = [-1024/5 + 192 - 192 + 22 + 105] - [-81/5 + 108 - 192 + 66 + 105]

A = 347.2

Therefore, the area of the shaded region is approximately 347.2 square units.

Answer:

24 is the number. The sum of its digits is 6.

Step-by-step explanation:

There are four two-digit numbers the product of whose digits is 8: 18, 24, 42, and 81. Of these numbers, 24 is four times the sum of its digits:

24 = 4 × 6 = 4 × (2 + 4)

Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

Answer:

Step-by-step explanation:

h = 5 ft

diameter = 2.4 ft

Radius is half of diameter

r = 2.4/2 = 1.2 ft

Now, find the volume of the tank

Volume = πr²h

             = 3.14 * 1.2 *1.2 * 5

             = 22.608 cubic ft

Time taken to fill the tank = Volume of tank ÷ volume of gas filled per minute

= 22.608 ÷ 2.3

= 9.8

= 10 minutes

Answer:

it would be within the range of $0.77 <x< $0.78

Answer:

Volume:

First lets find the height of the triangle:

14 divided by 2 = 7

7 is now your base since we split it apart into two right triangles.

24^2 + 7^2 = 625

625: 25^2 = 225 perfect!

25 is now your height:

25 x 14 = 350, 350 divided by 2 (x 1/2) = 175(area of triangle)

175(area of triangle) x 20(width) = 2100, around 3500 m^3

Answer:

67.98°

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

The hexagon with sides of length 5 inches, 4 inches, 4 inches, 5 inches, 3 inches, and 3 inches has a perimeter of 24 inches.

A hexagon is a regular polygon, meaning all sides and angles are equal in size. It is a symmetrical shape, which means it can be divided into two equal halves.

To calculate the perimeter of this hexagon, we must first identify the length of each side.

All sides of the hexagon have a length of either 5 inches, 4 inches, or 3 inches, as there are two sides of each length.

The perimeter of the hexagon is the sum of the length of all its sides. Adding the length of all the sides, we get

5 + 4 + 4 + 5 + 3 + 3 = 24.

Thus, the perimeter of the hexagon is 24 inches.

Hence, the sum of the length of the sides of a hexagon is always greater than the length of any one of its sides.

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Answer:

$450

Step-by-step explanation:

So let's make this into an equation:

10% × x = $45

10% is equal to 10/100, so it will be:

10/100x = 45

So:

45÷10/100=45/0.1=450

The original price was $450

Hope this helps :))

The calculated volume of the prism is 702 cubic cm

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

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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Answer:

38 degrees so the first option is correct

Step-by-step explanation:

Angle B5E is supplementary to angle D5E. Since we know angle D5E is 89 degrees, 180-89=91 degrees. We have 2 of the angle measurements for triangle E5B so we can find the missing one which is the one you want.  180-91-51=38 degrees so the first option is correct.

Answer:

15 is 25% of 60

Step-by-step explanation:

15 x 4 = 60

25% x 4 = 100%

Answer:

I think that might be 60

Step-by-step explanation:

The number of possibilities for 8 of 37 servers to fail is 38608020

From the question, we have

Total number of servers, n = 37

Numbers to servers that fail, r = 8

The number of ways for 8 serves to fail is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 37 and r = 8

Substitute the known values in the above equation

Total = ³⁷C₈

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 37!/29!8!

Evaluate

Total = 38608020

Hence, the number of ways is 38608020

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a) An expression for the number of bacteria after t hours - \(50e^{0.8t}\)

b) The number of bacteria after 7 hours, P(7)=13521.320

c) The rate of growth (in bacteria per hour) after 7, P(t)=1081.705

d) The population will reach 250,000 after - 4.6hours.

a)The exponential growth model is \(P = P_{0} e^{rt}\)

Where,

\(P_{0}\) = Initial growth

r = growth rate

t = time period

It is given that initially cells, \(P_{0}\) = 50

time period, t = 1.5 hours

Population after t = 1.5 hours is , P =875

Substitute the given values in the growth exponential model:

      875 = \(50 e^{r * 1.5}\)

 ⇒  \(\frac{875}{50}\) =  \(e^{r * 1.5}\)

 ⇒ 17.5 = \(e^{r * 1.5}\)

 ⇒ log (17.5 ) = log (\(e^{r * 1.5}\) )

 ⇒ log (17.5 ) = 1.5r

 ⇒ 1.24 = 1.5r

 ⇒ r = \(\frac{1.24}{1.5}\)

    r = 0.8%

Thus, P(t) = \(50e^{0.8t}\)

b) Number of bacteria after 7 hours is calculated as follows:

    P(7) = \(50 e^{0.8 * 7}\)

    P(7 ) = 13521.320

c) The rate of growth (in bacteria per hour) after 7 hours:

  P(t) = \(50e^{0.8t}\)

Differentiate w.r.t :

  P(t) = 50 × \(0.8e^{0.8t}\)

       = 50 × \(0.8e^{0.8 * 7}\)

      = 1081.705

d) The population at time t is P(t) = 250000

     250000 = \(50e^{0.8t}\)

  ⇒   \(\frac{250000}{50}\)  =\(e^{0.8t}\)

  ⇒  5000 = \(e^{0.8t}\)

 ⇒ 0.8t = 3.7

 ⇒  t = 4.6

a) An expression for the number of bacteria after t hours - \(50e^{0.8t}\)

b)The number of bacteria after 7 hours, P(7) = 13521.320

c) The rate of growth (in bacteria per hour) after 7, P(t) =  1081.705

d) The population will reach 250,000 after - 4.6hours.

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Answer:

They won 32

Step-by-step explanation:

16 is half of 32

32+16=48